2sin (example 3.3)

Time bar (total: 12.9s)

analyze62.0ms (0.5%)

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: 35.0ms
Operation ival-sin, time spent: 12.0ms, 35.0% of total-time
Operation ival-fabs, time spent: 6.0ms, 17.0% of total-time
Operation ival-mult, time spent: 3.0ms, 9.0% of total-time
Operation ival-<=, time spent: 3.0ms, 9.0% of total-time
Operation ival-<, time spent: 3.0ms, 9.0% 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-and, time spent: 2.0ms, 6.0% of total-time
Operation const, time spent: 1.0ms, 3.0% of total-time

sample7.5s (58%)

Results
3.8s26080×256precondition
1.7s8256×256valid
Precisions
Click to see histograms. Total time spent on operations: 3.4s
Operation ival-sin, time spent: 920.0ms, 27.0% of total-time
Operation ival-<=, time spent: 495.0ms, 14.0% of total-time
Operation ival-fabs, time spent: 476.0ms, 14.0% of total-time
Operation ival-<, time spent: 394.0ms, 11.0% of total-time
Operation ival-add, time spent: 355.0ms, 10.0% of total-time
Operation ival-mult, time spent: 337.0ms, 10.0% of total-time
Operation ival-sub, time spent: 243.0ms, 7.0% of total-time
Operation ival-and, time spent: 142.0ms, 4.0% of total-time
Operation const, time spent: 79.0ms, 2.0% of total-time
Bogosity

preprocess156.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
154×fma-neg
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2204(1.1139134580034987e-274 3.2732743653369867e-277)4(-5.693891008208209e-60 2.9447647052174167e-61)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
10-0-(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))
Results
59.0ms510×256valid
1.0ms2×2048valid
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: 11.0ms, 51.0% of total-time
Operation ival-add, time spent: 6.0ms, 28.0% of total-time
Operation ival-sub, time spent: 4.0ms, 18.0% 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
▶62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize41.0ms (0.3%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓100.0%
(sin.f64 (+.f64 x eps))
✓62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
29.0ms255×256valid
1.0ms1×2048valid
Compiler

Compiled 21 to 8 computations (61.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 13.0ms
Operation ival-sin, time spent: 6.0ms, 46.0% of total-time
Operation ival-sub, time spent: 4.0ms, 31.0% of total-time
Operation ival-add, time spent: 3.0ms, 23.0% of total-time
Operation const, time spent: 0.0ms, 0.0% of total-time

series9.0ms (0.1%)

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
4.0ms
x
@0
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@inf
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))
0.0ms
x
@-inf
(- (sin (+ x eps)) (sin x))

rewrite244.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
461×fma-define
401×log-prod
211×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)))
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(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)))
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(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)))
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(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)))
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(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)))
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(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)))
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(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)))

simplify191.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
541×unsub-neg
337×sub-neg
331×fma-neg
309×div-sub
301×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))))
(+.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 (+.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 (+.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 (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) 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 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 (+.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 (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 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.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 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.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))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(+.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)))
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(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)))
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(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)))
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)))

eval54.0ms (0.4%)

Compiler

Compiled 4201 to 1287 computations (69.4% saved)

prune37.0ms (0.3%)

Pruning

5 alts after pruning (4 fresh and 1 done)

PrunedKeptTotal
New2264230
Fresh000
Picked011
Done000
Total2265231
Accuracy
100.0%
Counts
231 → 5
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.7%
(*.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 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
▶99.3%
(*.f64 eps (cos.f64 x))
▶98.2%
(sin.f64 eps)
Compiler

Compiled 52 to 35 computations (32.7% saved)

localize190.0ms (1.5%)

Localize:

Found 7 expressions with local error:

NewAccuracyProgram
✓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))
✓100.0%
(*.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)))))))
✓100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
✓99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
✓99.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
✓100.0%
(*.f64 eps (cos.f64 x))
Results
123.0ms255×256valid
8.0ms1×8192exit
Compiler

Compiled 130 to 54 computations (58.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 86.0ms
Operation ival-mult, time spent: 59.0ms, 68.0% of total-time
Operation ival-add, time spent: 10.0ms, 12.0% of total-time
Operation ival-sin, time spent: 9.0ms, 10.0% of total-time
Operation ival-cos, time spent: 5.0ms, 6.0% of total-time
Operation const, time spent: 3.0ms, 3.0% of total-time

series26.0ms (0.2%)

Counts
7 → 96
Calls
Call 1
Inputs
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.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 (*.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 #s(literal -1/6 binary64) (*.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))))>
Outputs
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.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 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 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) 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 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<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) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<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) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 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 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<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 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<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 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) 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 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
Calls

42 calls:

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

rewrite202.0ms (1.6%)

Algorithm
1×batch-egg-rewrite
Rules
1157×log1p-expm1-u
531×expm1-log1p-u
225×associate-*r*
165×add-cube-cbrt
164×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
023262
1357254
25496254
Stop Event
1×node limit
Counts
7 → 167
Calls
Call 1
Inputs
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (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 (*.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 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 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))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) #s(literal 1 binary64))
(/.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64)))) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64)))))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) eps) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) eps) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) eps (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) #s(literal 1 binary64))
(-.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (sqrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
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(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))

simplify236.0ms (1.8%)

Algorithm
1×egg-herbie
Rules
719×cancel-sign-sub-inv
533×associate-*r*
503×fma-neg
447×associate-*l*
434×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
052713983
1139613402
2504213374
Stop Event
1×node limit
Counts
263 → 352
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 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)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))
(*.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) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
(*.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) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) eps)) (*.f64 #s(literal 1/6 binary64) (cos.f64 x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 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 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.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))))))
(+.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)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps #s(literal -1/6 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))) #s(literal 1 binary64))
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(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (-.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (cos.f64 x) eps (*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (pow.f64 eps #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64))) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 eps #s(literal -1/2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (log.f64 eps)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x)))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (cos.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (+.f64 (*.f64 #s(literal -1/8 binary64) (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64))) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))) eps) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 eps (sin.f64 x)))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 eps (sin.f64 x))))
Outputs
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) eps)
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/24 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/24 binary64)))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal -1/720 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/24 binary64))))) eps)
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/24 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64)))) (*.f64 eps #s(literal -1/2 binary64))) eps)
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (*.f64 eps #s(literal 1/12 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))) (*.f64 eps #s(literal 1/12 binary64)))))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps (pow.f64 x #s(literal 2 binary64))) #s(literal -1/144 binary64) (*.f64 eps #s(literal 1/12 binary64)))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal -1/144 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/12 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 #s(literal 1/4320 binary64) eps) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/144 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/4320 binary64))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (*.f64 eps #s(literal 1/4320 binary64)) (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/144 binary64))) (*.f64 eps #s(literal 1/12 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
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(*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))
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(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.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)))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 2 binary64))
(*.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)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(*.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)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.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)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.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)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)))
(*.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)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64))))
(*.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)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.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)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.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)))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.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)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64)))
(*.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)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 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)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 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)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 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)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 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)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 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)))

eval183.0ms (1.4%)

Compiler

Compiled 8787 to 4727 computations (46.2% saved)

prune70.0ms (0.5%)

Pruning

11 alts after pruning (7 fresh and 4 done)

PrunedKeptTotal
New3727379
Fresh000
Picked134
Done011
Total37311384
Accuracy
100.0%
Counts
384 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶98.8%
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
▶98.2%
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
49.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
▶99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
▶99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓99.3%
(*.f64 eps (cos.f64 x))
✓98.2%
(sin.f64 eps)
▶98.2%
eps
Compiler

Compiled 220 to 154 computations (30% saved)

localize220.0ms (1.7%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓99.9%
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
✓100.0%
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
✓99.9%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))))
✓99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
✓99.5%
(*.f64 #s(literal -1/6 binary64) eps)
Results
148.0ms255×256valid
4.0ms1×8192exit
Compiler

Compiled 143 to 82 computations (42.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 101.0ms
Operation ival-mult, time spent: 58.0ms, 57.0% of total-time
Operation ival-pow, time spent: 21.0ms, 21.0% of total-time
Operation ival-add, time spent: 14.0ms, 14.0% of total-time
Operation const, time spent: 5.0ms, 5.0% of total-time
Operation ival-cos, time spent: 4.0ms, 4.0% of total-time

series32.0ms (0.2%)

Counts
10 → 152
Calls
Call 1
Inputs
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 (*.f64 eps #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 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
Outputs
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)) eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)) eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)) eps)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.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 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.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 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) 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 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (cos.f64 x)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (cos.f64 x)) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
Calls

57 calls:

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

rewrite227.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
689×log1p-expm1-u
292×associate-*r*
223×expm1-log1p-u
218×add-cube-cbrt
216×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
029305
1474285
27208285
Stop Event
1×node limit
Counts
10 → 249
Calls
Call 1
Inputs
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) x)
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/6 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal -1/6 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/6 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/6 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (*.f64 eps (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64)))) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (-.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 eps (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal 1/6 binary64) eps)))
(/.f64 (*.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64))) eps) (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (-.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
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(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))

simplify422.0ms (3.3%)

Algorithm
1×egg-herbie
Rules
663×times-frac
543×fma-neg
462×fma-define
451×associate-*r*
391×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
068118377
1168717584
2582217566
Stop Event
1×node limit
Counts
401 → 446
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
(+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 (cos.f64 x) x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))) x)) (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)) eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x)) eps)) #s(literal 1/6 binary64)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.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))))))
(+.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) (*.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 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
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eps
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(cos.f64 x)
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(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)
(fma.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal -1/2 binary64) eps)
(fma.f64 #s(literal 1 binary64) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/4 binary64))) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))) eps)
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))) (*.f64 (*.f64 eps (sqrt.f64 x)) (sqrt.f64 #s(literal -1/2 binary64))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64))))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64)) (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) #s(literal -1/2 binary64)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) x)) (log.f64 eps)))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/4 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 4 binary64))) #s(literal 1/4 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 (cos.f64 x) eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))) (/.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (+.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
Outputs
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal -1/2 binary64) eps) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 x (/.f64 #s(literal -1/2 binary64) eps) #s(literal -1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/6 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 x eps) #s(literal -1/6 binary64)))
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(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64) (*.f64 (cos.f64 x) (+.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal -1/4 binary64))) (+.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (cos.f64 x))))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) (fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)))) (pow.f64 (cos.f64 x) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) eps)) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 1 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 3 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 2 binary64))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 2 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x)) #s(literal 3 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (*.f64 eps x) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)) (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))
(fma.f64 (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 x (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) (cos.f64 x))

eval316.0ms (2.5%)

Compiler

Compiled 8394 to 5239 computations (37.6% saved)

prune90.0ms (0.7%)

Pruning

12 alts after pruning (4 fresh and 8 done)

PrunedKeptTotal
New4442446
Fresh022
Picked055
Done134
Total44512457
Accuracy
100.0%
Counts
457 → 12
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓98.8%
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
✓98.2%
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
▶49.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
▶99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
✓99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
✓99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
▶98.2%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓99.3%
(*.f64 eps (cos.f64 x))
✓98.2%
eps
Compiler

Compiled 146 to 102 computations (30.1% saved)

localize528.0ms (4.1%)

Localize:

Found 11 expressions with local error:

NewAccuracyProgram
✓100.0%
(/.f64 (cos.f64 x) eps)
✓100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))
✓50.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
✓99.6%
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
✓99.5%
(*.f64 #s(literal 1/12 binary64) eps)
99.5%
(*.f64 #s(literal -1/6 binary64) eps)
✓99.5%
(*.f64 #s(literal 1/12 binary64) x)
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓99.8%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
Results
354.0ms253×256valid
19.0ms3×8192exit
Compiler

Compiled 249 to 145 computations (41.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 299.0ms
Operation ival-mult, time spent: 113.0ms, 38.0% of total-time
Operation ival-sin, time spent: 83.0ms, 28.0% of total-time
Operation ival-sub, time spent: 49.0ms, 16.0% of total-time
Operation ival-add, time spent: 27.0ms, 9.0% of total-time
Operation ival-pow, time spent: 9.0ms, 3.0% of total-time
Operation const, time spent: 8.0ms, 3.0% of total-time
Operation ival-cos, time spent: 7.0ms, 2.0% of total-time
Operation ival-div, time spent: 2.0ms, 1.0% of total-time

series29.0ms (0.2%)

Counts
9 → 111
Calls
Call 1
Inputs
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))>
#<alt (/.f64 (cos.f64 x) eps)>
Outputs
#<alt eps>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.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 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<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 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) (*.f64 eps x)) (*.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) (*.f64 eps x)) (*.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) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.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 -1/2 binary64) x) (+.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 -1/2 binary64) x) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (+.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 -1/2 binary64) x) (+.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 -1/2 binary64) x) (+.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) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)) (/.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.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)))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))>
#<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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<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 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (*.f64 x (-.f64 (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (/.f64 (cos.f64 x) eps)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) eps)>
#<alt (/.f64 (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (/.f64 #s(literal 1 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps))>
#<alt (+.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)) (*.f64 #s(literal 1/24 binary64) (/.f64 #s(literal 1 binary64) eps)))) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) eps)))) (/.f64 #s(literal 1 binary64) eps))>
Calls

48 calls:

TimeVariablePointExpression
8.0ms
eps
@-inf
(* x (* -1/2 (+ eps x)))
1.0ms
x
@inf
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
1.0ms
x
@-inf
(* (pow eps 2) (+ (* -1/2 (sin x)) (/ (cos x) eps)))
1.0ms
x
@inf
(* x (* -1/2 (+ eps x)))
1.0ms
eps
@-inf
(* eps (+ 1 (* x (* -1/2 (+ eps x)))))

rewrite226.0ms (1.8%)

Algorithm
1×batch-egg-rewrite
Rules
444×log1p-expm1-u
266×associate-*r*
241×expm1-log1p-u
236×add-cube-cbrt
234×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031240
1516232
27850232
Stop Event
1×node limit
Counts
9 → 245
Calls
Call 1
Inputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.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) (+.f64 eps x)))))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) eps)
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))
(/.f64 (cos.f64 x) eps)
Outputs
(+.f64 eps (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))) (*.f64 eps (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))) (-.f64 eps (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))))
(/.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) eps) (-.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (pow.f64 (*.f64 eps x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) eps) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 eps x))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 #s(literal 1 binary64) eps (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (*.f64 x (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (*.f64 (*.f64 #s(literal -1/2 binary64) x) x))
(+.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) x)) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) x) (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)))
(-.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (-.f64 eps x))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 eps x) x))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)))
(+.f64 eps (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) #s(literal 3 binary64))) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x))) (*.f64 eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x))))))
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(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))) #s(literal 1 binary64)))
(fma.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) eps)))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (pow.f64 eps #s(literal 2 binary64)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (cos.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (cos.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) eps))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) eps)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64)))

simplify523.0ms (4.1%)

Algorithm
1×egg-herbie
Rules
732×fma-neg
493×associate-*r*
428×associate-*l*
360×fma-define
260×exp-prod
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
067114186
1169413541
2603413497
Stop Event
1×node limit
Counts
356 → 406
Calls
Call 1
Inputs
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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))
(*.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 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 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 #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 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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
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(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(*.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))))
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64))) (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) eps) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))))
(/.f64 (-.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (/.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) eps))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (/.f64 (cos.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (cos.f64 x) eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) (sqrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (neg.f64 (cos.f64 x)) (/.f64 #s(literal 1 binary64) (neg.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) eps) (cos.f64 x))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (cos.f64 x) (sqrt.f64 eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 x) eps)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 eps)))
(pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64))
(pow.f64 (/.f64 eps (cos.f64 x)) #s(literal -1 binary64))
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 eps)))
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) eps))
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (/.f64 (cos.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) eps)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (/.f64 (cos.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64)))
Outputs
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x)
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(neg.f64 (*.f64 x (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64) (/.f64 (neg.f64 eps) x)) (neg.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 (*.f64 eps #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) (*.f64 x (+.f64 eps x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 eps x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) x) (+.f64 eps 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) 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)) (fma.f64 #s(literal -1/2 binary64) (/.f64 eps x) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps (/.f64 #s(literal -1/2 binary64) x) #s(literal -1/2 binary64)))
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(/.f64 (cos.f64 x) eps)
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (cos.f64 x) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (cos.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) #s(literal 1 binary64)) (/.f64 (cbrt.f64 (cos.f64 x)) eps))
(/.f64 (cos.f64 x) eps)
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (cbrt.f64 (/.f64 (cos.f64 x) eps)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(*.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (sqrt.f64 eps)) (/.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 eps)) (/.f64 (cos.f64 x) (sqrt.f64 eps)))
(/.f64 (/.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) #s(literal 1 binary64)) (/.f64 (sqrt.f64 (cos.f64 x)) eps))
(/.f64 (cos.f64 x) eps)
(*.f64 (/.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (sqrt.f64 (cos.f64 x)) (cbrt.f64 eps)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))) (/.f64 (cos.f64 x) (cbrt.f64 eps)))
(/.f64 (/.f64 (cos.f64 x) (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)))
(pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 1 binary64))
(/.f64 (cos.f64 x) eps)
(pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 3 binary64))
(/.f64 (cos.f64 x) eps)
(pow.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(/.f64 (cos.f64 x) eps)
(pow.f64 (sqrt.f64 (/.f64 (cos.f64 x) eps)) #s(literal 2 binary64))
(/.f64 (cos.f64 x) eps)
(pow.f64 (/.f64 eps (cos.f64 x)) #s(literal -1 binary64))
(/.f64 (cos.f64 x) eps)
(neg.f64 (/.f64 (cos.f64 x) (neg.f64 eps)))
(/.f64 (cos.f64 x) eps)
(neg.f64 (/.f64 (neg.f64 (cos.f64 x)) eps))
(/.f64 (cos.f64 x) eps)
(sqrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 2 binary64)))
(/.f64 (cos.f64 x) eps)
(log.f64 (exp.f64 (/.f64 (cos.f64 x) eps)))
(/.f64 (cos.f64 x) eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (/.f64 (cos.f64 x) eps))))
(/.f64 (cos.f64 x) eps)
(cbrt.f64 (pow.f64 (/.f64 (cos.f64 x) eps) #s(literal 3 binary64)))
(/.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 (/.f64 (cos.f64 x) eps)))
(log1p.f64 (expm1.f64 (/.f64 (cos.f64 x) eps)))
(/.f64 (cos.f64 x) eps)
(exp.f64 (log.f64 (/.f64 (cos.f64 x) eps)))
(/.f64 (cos.f64 x) eps)
(exp.f64 (*.f64 (log.f64 (/.f64 (cos.f64 x) eps)) #s(literal 1 binary64)))
(/.f64 (cos.f64 x) eps)

eval210.0ms (1.6%)

Compiler

Compiled 9477 to 5654 computations (40.3% saved)

prune115.0ms (0.9%)

Pruning

11 alts after pruning (3 fresh and 8 done)

PrunedKeptTotal
New4383441
Fresh000
Picked224
Done268
Total44211453
Accuracy
100.0%
Counts
453 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
98.9%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
98.2%
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
✓49.8%
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
✓99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
✓99.4%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓98.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓99.3%
(*.f64 eps (cos.f64 x))
✓98.2%
eps
Compiler

Compiled 317 to 193 computations (39.1% saved)

regimes16.0ms (0.1%)

Counts
17 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.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)))))))
Outputs
(*.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)))))))
Calls

3 calls:

5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes16.0ms (0.1%)

Counts
16 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
Calls

3 calls:

6.0ms
eps
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes14.0ms (0.1%)

Counts
14 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
Calls

3 calls:

5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
99.4%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
10 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
99.4%1x
99.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes7.0ms (0.1%)

Counts
9 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
Outputs
(*.f64 eps (cos.f64 x))
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
99.3%1x
99.3%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(+.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) x))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
Calls

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.9%1x
98.9%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes1.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

Counts
1 → 1
Calls
Call 1
Inputs
eps
Outputs
eps
Calls

2 calls:

0.0ms
eps
0.0ms
x
Results
AccuracySegmentsBranch
98.2%1x
98.2%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
21×*-commutative
10×+-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044359
180359
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.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 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps 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 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
Outputs
(*.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 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (+.f64 eps x)) eps)
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (+.f64 eps x)))
(*.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 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) #s(literal 1 binary64)))
eps

soundness602.0ms (4.7%)

Rules
663×times-frac
543×fma-neg
541×unsub-neg
462×fma-define
451×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
031240
1516232
27850232
068118377
1168717584
2582217566
03838992
18678632
224398236
368938236
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
Compiler

Compiled 228 to 128 computations (43.9% saved)

preprocess85.0ms (0.7%)

Compiler

Compiled 230 to 132 computations (42.6% saved)

end0.0ms (0%)

Profiling

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