2sin (example 3.3)

Time bar (total: 14.7s)

analyze61.0ms (0.4%)

Algorithm
1×search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%50.6%49.4%0%0%0%0
0%0%50.6%49.4%0%0%0%1
0%0%50.6%49.4%0%0%0%2
0%0%25.3%74.7%0%0%0%3
0%0%25.3%74.7%0%0%0%4
0%0%19%81%0%0%0%5
0%0%15.8%84.2%0%0%0%6
0%0%11.1%88.9%0%0%0%7
0%0%8.7%91.3%0%0%0%8
0%0%5.9%94.1%0%0%0%9
0%0%4.5%95.5%0%0%0%10
0%0%3.1%96.9%0%0%0%11
0%0%2.7%97.3%0%0%0%12
Compiler

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
Operation ival-sin, time spent: 18.0ms, 50.0% of total-time
Operation ival-mult, time spent: 4.0ms, 11.0% of total-time
Operation ival-<=, time spent: 3.0ms, 8.0% of total-time
Operation ival-<, time spent: 3.0ms, 8.0% of total-time
Operation ival-add, time spent: 2.0ms, 6.0% of total-time
Operation ival-sub, time spent: 2.0ms, 6.0% of total-time
Operation ival-fabs, time spent: 1.0ms, 3.0% of total-time
Operation ival-and, time spent: 1.0ms, 3.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample6.9s (46.9%)

Results
4.6s26384×256precondition
1.5s8255×256valid
0.0ms1×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.6s
Operation ival-sin, time spent: 1.1s, 31.0% of total-time
Operation ival-<=, time spent: 533.0ms, 15.0% of total-time
Operation ival-mult, time spent: 505.0ms, 14.0% of total-time
Operation ival-<, time spent: 457.0ms, 13.0% of total-time
Operation ival-add, time spent: 375.0ms, 10.0% of total-time
Operation ival-sub, time spent: 219.0ms, 6.0% of total-time
Operation ival-fabs, time spent: 180.0ms, 5.0% of total-time
Operation ival-and, time spent: 133.0ms, 4.0% of total-time
Operation const, time spent: 75.0ms, 2.0% of total-time
Bogosity

preprocess192.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
308×fma-neg
118×fma-define
98×sub-neg
78×cancel-sign-sub-inv
70×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2222(-2.129059469270008e-240 4.1785232179134004e-243)2(1.7519853408898144e-35 2.353643738287276e-37)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20-1(-71.8253911339501 4.0619776409366144e-13)(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
027226
149210
2101210
3201210
4378210
5481210
6638210
7720210
8762210
9768210
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 (neg.f64 x) eps)) (sin.f64 (neg.f64 x))))
(-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))
(neg.f64 (-.f64 (sin.f64 (+.f64 x (neg.f64 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps (neg.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 51 to 22 computations (56.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
Operation ival-sin, time spent: 10.0ms, 45.0% of total-time
Operation ival-add, time spent: 8.0ms, 36.0% of total-time
Operation ival-sub, time spent: 3.0ms, 14.0% of total-time
Operation const, time spent: 1.0ms, 5.0% of total-time

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize39.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.9%
(sin.f64 (+.f64 x eps))
✓62.1%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 11.0ms
Operation ival-sin, time spent: 6.0ms, 55.0% of total-time
Operation ival-add, time spent: 3.0ms, 28.0% of total-time
Operation ival-sub, time spent: 1.0ms, 9.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series5.0ms (0%)

Counts
2 → 48
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
Calls

12 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
1.0ms
x
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))
0.0ms
x
@-inf
(- (sin (+ x eps)) (sin x))

rewrite284.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
922×fma-define
802×log-prod
422×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
Stop Event
1×node limit
Counts
2 → 151
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))

simplify179.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1082×unsub-neg
674×sub-neg
662×fma-neg
618×div-sub
602×distribute-lft-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03838992
18678632
224398236
368938236
Stop Event
1×node limit
Counts
199 → 230
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
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(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) #s(literal -1 binary64))) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
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(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval63.0ms (0.4%)

Compiler

Compiled 4201 to 1287 computations (69.4% saved)

prune41.0ms (0.3%)

Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2219230
Fresh000
Picked011
Done000
Total22110231
Accuracy
100.0%
Counts
231 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓62.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶5.4%
(-.f64 (sin.f64 x) (sin.f64 x))
99.9%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
▶62.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
▶99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
99.3%
(*.f64 eps (cos.f64 x))
▶98.5%
(sin.f64 eps)
Compiler

Compiled 257 to 176 computations (31.5% saved)

localize1.3s (9%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
✓99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
✓99.7%
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
✓99.5%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
✓100.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓100.0%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓62.0%
(+.f64 x (-.f64 eps x))
✓100.0%
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
✓100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Compiler

Compiled 285 to 140 computations (50.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 989.0ms
Operation ival-add, time spent: 360.0ms, 36.0% of total-time
Operation ival-mult, time spent: 342.0ms, 35.0% of total-time
Operation ival-sin, time spent: 144.0ms, 15.0% of total-time
Operation ival-cos, time spent: 67.0ms, 7.0% of total-time
Operation composed, time spent: 48.0ms, 5.0% of total-time
Operation const, time spent: 17.0ms, 2.0% of total-time
Operation ival-sub, time spent: 10.0ms, 1.0% of total-time

series40.0ms (0.3%)

Counts
11 → 191
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (cos.f64 x))>
Outputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) eps)) (*.f64 #s(literal -1/24 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 eps (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))>
#<alt #s(literal -1/6 binary64)>
#<alt (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/144 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64))>
#<alt (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/4320 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/144 binary64))))) #s(literal 1/6 binary64))>
Calls

60 calls:

TimeVariablePointExpression
3.0ms
eps
@0
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
2.0ms
x
@0
(* eps (+ (* -1/2 (sin x)) (* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))))
1.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* eps 1/2))))
1.0ms
eps
@0
(* 2 (sin (* eps 1/2)))
1.0ms
x
@-inf
(* eps (+ (* -1/6 (cos x)) (* 1/24 (* eps (sin x)))))

rewrite116.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
296×log1p-expm1-u
296×expm1-log1p-u
292×add-cube-cbrt
290×add-exp-log
290×add-log-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
041427
1679427
Stop Event
1×node limit
Counts
11 → 205
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+.f64 x (-.f64 eps x))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 #s(literal -1/6 binary64) (cos.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (+.f64 x eps) x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))) (/.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 x (-.f64 eps x))))
(*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x (-.f64 eps x)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64))) (-.f64 x (-.f64 eps x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 x x (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (*.f64 x (-.f64 eps x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 (-.f64 eps x) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (-.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 x eps) x))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 (-.f64 eps x) x))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 x eps)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 x eps) x))
(pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 eps x))
(fma.f64 #s(literal 1 binary64) (-.f64 eps x) x)
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 eps x)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
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(/.f64 (-.f64 (*.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) (*.f64 (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))) (-.f64 (*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps)) (*.f64 (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))) (-.f64 (*.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps)))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 1 binary64)))

simplify366.0ms (2.5%)

Algorithm
1×egg-herbie
Rules
1406×associate-*r*
1388×fma-neg
1324×fma-define
1244×associate-*l*
536×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
071418731
1200517208
2713317208
Stop Event
1×node limit
Counts
396 → 412
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
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(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 1 binary64)))
Outputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 x (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 x (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1/6 binary64)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 x (fma.f64 x (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal -1/2 binary64) (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) eps) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/48 binary64) eps) (sin.f64 x)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(fma.f64 (*.f64 x #s(literal -2 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 x)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1/3 binary64)))))))
(fma.f64 x (fma.f64 x (-.f64 (*.f64 x (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 1/3 binary64))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
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(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) eps))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) #s(literal -1/2 binary64)) eps (*.f64 (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))) eps))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/6 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) #s(literal -1/6 binary64)))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)))))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) #s(literal -1/6 binary64))

eval209.0ms (1.4%)

Compiler

Compiled 10532 to 6354 computations (39.7% saved)

prune114.0ms (0.8%)

Pruning

10 alts after pruning (6 fresh and 4 done)

PrunedKeptTotal
New4102412
Fresh044
Picked235
Done011
Total41210422
Accuracy
100.0%
Counts
422 → 10
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.1%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
✓62.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓5.4%
(-.f64 (sin.f64 x) (sin.f64 x))
▶99.9%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
▶99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
▶99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
▶99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
▶99.3%
(*.f64 eps (cos.f64 x))
✓98.5%
(sin.f64 eps)
Compiler

Compiled 201 to 140 computations (30.3% saved)

localize1.6s (11%)

Localize:

Found 12 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
✓99.8%
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
✓53.2%
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
✓100.0%
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))
99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
✓100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
✓99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Compiler

Compiled 180 to 99 computations (45% saved)

Precisions
Click to see histograms. Total time spent on operations: 1.3s
Operation ival-sin, time spent: 477.0ms, 37.0% of total-time
Operation ival-cos, time spent: 312.0ms, 24.0% of total-time
Operation ival-mult, time spent: 305.0ms, 24.0% of total-time
Operation ival-add, time spent: 102.0ms, 8.0% of total-time
Operation composed, time spent: 51.0ms, 4.0% of total-time
Operation ival-sub, time spent: 21.0ms, 2.0% of total-time
Operation const, time spent: 17.0ms, 1.0% of total-time

series34.0ms (0.2%)

Counts
11 → 216
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))>
#<alt (+.f64 (cos.f64 eps) #s(literal -1 binary64))>
#<alt (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))>
#<alt (*.f64 (sin.f64 eps) (cos.f64 x))>
#<alt (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))>
Outputs
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))>
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#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
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#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sin.f64 x)) (*.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))))))))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
Calls

63 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(* eps (cos x))
2.0ms
x
@-inf
(* (sin eps) (cos x))
1.0ms
x
@inf
(* (sin x) (+ (cos eps) -1))
1.0ms
x
@inf
(* (sin eps) (cos x))
1.0ms
x
@0
(* (sin x) (+ (cos eps) -1))

rewrite246.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
548×associate-*r*
468×log1p-expm1-u
352×associate-*l*
253×expm1-log1p-u
248×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
034363
1533340
27734340
Stop Event
1×node limit
Counts
11 → 254
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 x #s(literal 2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) #s(literal 3 binary64))
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(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (cos.f64 eps)) #s(literal 1 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64)) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))
(pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))

simplify180.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
1534×fma-define
1496×associate-*r*
1176×associate-*l*
714×*-commutative
620×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
087021288
1231220228
Stop Event
1×node limit
Counts
470 → 534
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
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(*.f64 eps (cos.f64 x))
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eps
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(*.f64 eps (cos.f64 x))
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eps
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#s(literal 1 binary64)
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(cos.f64 x)
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(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))
(pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal -1 binary64))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) #s(literal -1 binary64))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 (cos.f64 eps) #s(literal 3 binary64))) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (sin.f64 x)) (+.f64 (cos.f64 eps) #s(literal 1 binary64)))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 (sin.f64 x) #s(literal 1/2 binary64)))))
(fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 #s(literal -2 binary64) x (neg.f64 eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
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eps
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(fma.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64)) eps)
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eps
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(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)
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(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 x eps))) eps)
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#s(literal 1 binary64)
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(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))
(*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (+.f64 (sin.f64 x) (sin.f64 (-.f64 eps x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (neg.f64 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (neg.f64 (sin.f64 (-.f64 eps x))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 3 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 2 binary64))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))) #s(literal 3 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))) #s(literal 1 binary64)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))

eval226.0ms (1.5%)

Compiler

Compiled 11378 to 6315 computations (44.5% saved)

prune138.0ms (0.9%)

Pruning

12 alts after pruning (6 fresh and 6 done)

PrunedKeptTotal
New5736579
Fresh101
Picked145
Done224
Total57712589
Accuracy
100.0%
Counts
589 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
▶99.9%
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓62.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
✓99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
▶98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
▶98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
▶98.5%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
✓99.3%
(*.f64 eps (cos.f64 x))
▶98.5%
eps
Compiler

Compiled 235 to 167 computations (28.9% saved)

localize994.0ms (6.7%)

Localize:

Found 8 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
✓99.8%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓99.8%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
✓100.0%
(*.f64 (cos.f64 x) (sin.f64 eps))
53.2%
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
Compiler

Compiled 200 to 105 computations (47.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 657.0ms
Operation ival-mult, time spent: 290.0ms, 44.0% of total-time
Operation ival-sin, time spent: 155.0ms, 24.0% of total-time
Operation ival-cos, time spent: 89.0ms, 14.0% of total-time
Operation ival-add, time spent: 64.0ms, 10.0% of total-time
Operation ival-sub, time spent: 28.0ms, 4.0% of total-time
Operation const, time spent: 19.0ms, 3.0% of total-time
Operation composed, time spent: 12.0ms, 2.0% of total-time

series31.0ms (0.2%)

Counts
7 → 124
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 x) (sin.f64 eps))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))>
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 binary64) eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (+.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps (pow.f64 x #s(literal 3 binary64)))))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 3 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x)) (*.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal -1/2 binary64) eps)) x)) (*.f64 #s(literal -1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
Calls

42 calls:

TimeVariablePointExpression
7.0ms
x
@inf
(* x (* -1/2 (+ x eps)))
2.0ms
eps
@-inf
(* eps (+ 1 (* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))))
1.0ms
eps
@-inf
(* -1/2 (* x eps))
1.0ms
eps
@-inf
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))
1.0ms
eps
@inf
(* x (+ (* -1/2 eps) (* x (- (* 1/12 (* eps x)) 1/2))))

rewrite197.0ms (1.3%)

Algorithm
1×batch-egg-rewrite
Rules
1147×log1p-expm1-u
484×associate-*r*
312×associate-*l*
201×expm1-log1p-u
199×add-cube-cbrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029243
1461239
26398239
Stop Event
1×node limit
Counts
7 → 158
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 x) (log.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (+.f64 (log.f64 (*.f64 eps #s(literal -1/2 binary64))) (log.f64 x)))
(+.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (-.f64 x eps))
(pow.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (+.f64 x eps)) #s(literal -1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 x eps) (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) x) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(-.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))) (-.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (*.f64 x (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (*.f64 x (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) x) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))) x) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))

simplify186.0ms (1.3%)

Algorithm
1×egg-herbie
Rules
970×associate-*r*
948×cancel-sign-sub-inv
876×associate-*l*
854×distribute-lft-neg-in
788×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
056313957
1150413472
2532513381
Stop Event
1×node limit
Counts
282 → 343
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
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(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
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(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
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(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
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(*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 x (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) x)
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 eps (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
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(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
(*.f64 eps (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1/2 binary64)))
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(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))
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(*.f64 #s(literal -1/2 binary64) eps)
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(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))))
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(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64))))
(pow.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))
(fma.f64 (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) x (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)))) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64))))
(+.f64 eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))) (*.f64 eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))) (-.f64 eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))) eps) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) (sin.f64 eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)) (sin.f64 eps))
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eps
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(*.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))) (/.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))))
(*.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))))))))
(*.f64 eps (/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64)) (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal -1 binary64)))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))) eps) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))) (/.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))))))
(*.f64 eps (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64))))))))
(pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 1 binary64))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 3 binary64))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 2 binary64))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 2 binary64)))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))) #s(literal 3 binary64)))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))))))
(fma.f64 eps (*.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64)))) eps)
(*.f64 eps (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (fma.f64 (*.f64 eps x) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))) #s(literal 1 binary64)))

eval167.0ms (1.1%)

Compiler

Compiled 8824 to 5658 computations (35.9% saved)

prune77.0ms (0.5%)

Pruning

12 alts after pruning (2 fresh and 10 done)

PrunedKeptTotal
New3981399
Fresh011
Picked145
Done066
Total39912411
Accuracy
100.0%
Counts
411 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓99.9%
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓62.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓99.9%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
✓99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
99.5%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
✓99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
✓98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
98.7%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
✓99.3%
(*.f64 eps (cos.f64 x))
✓98.5%
eps
Compiler

Compiled 371 to 234 computations (36.9% saved)

regimes28.0ms (0.2%)

Counts
19 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(fma.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
Calls

3 calls:

10.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
12 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
Calls

3 calls:

8.0ms
x
7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
Results
AccuracySegmentsBranch
99.5%1x
99.5%1eps
99.5%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes8.0ms (0.1%)

Counts
7 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
Outputs
(*.f64 eps (cos.f64 x))
Calls

2 calls:

5.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
6 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
Calls

2 calls:

6.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -0.0b remaining (-0%)

Threshold costs -0b (-0%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
Outputs
eps
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.5%1x
98.5%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
32×*-commutative
14×+-commutative
8×sub-neg
6×neg-sub0
6×neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
033190
159190
270190
376190
480190
581190
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
eps
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) eps)
(*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
eps
Compiler

Compiled 62 to 46 computations (25.8% saved)

soundness540.0ms (3.7%)

Rules
1534×fma-define
1496×associate-*r*
1176×associate-*l*
1082×unsub-neg
978×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
087021288
1231220228
03838992
18678632
224398236
368938236
01247
116047
2246047
Stop Event
1×node limit
1×node limit
1×node limit
Compiler

Compiled 744 to 464 computations (37.6% saved)

end0.0ms (0%)

preprocess59.0ms (0.4%)

Compiler

Compiled 152 to 108 computations (28.9% saved)

Profiling

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