2sin (example 3.3)

Time bar (total: 14.0s)

analyze69.0ms (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: 43.0ms
ival-sin: 11.0ms (25.4% of total)
ival-fabs: 8.0ms (18.5% of total)
ival-<=: 8.0ms (18.5% of total)
ival-mult: 4.0ms (9.2% of total)
ival-<: 4.0ms (9.2% of total)
ival-add: 3.0ms (6.9% of total)
ival-sub: 3.0ms (6.9% of total)
ival-and: 2.0ms (4.6% of total)
const: 1.0ms (2.3% of total)
backward-pass: 0.0ms (0% of total)

sample8.3s (59.5%)

Results
4.1s26628×0precondition
1.6s4490×1valid
566.0ms3766×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.8s
ival-sin: 1.1s (23.3% of total)
ival-fabs: 753.0ms (15.8% of total)
backward-pass: 593.0ms (12.4% of total)
ival-<=: 554.0ms (11.6% of total)
ival-<: 551.0ms (11.5% of total)
ival-mult: 475.0ms (9.9% of total)
ival-add: 324.0ms (6.8% of total)
ival-sub: 224.0ms (4.7% of total)
ival-and: 123.0ms (2.6% of total)
const: 66.0ms (1.4% of total)
Bogosity

preprocess122.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
154×fma-neg
59×fma-define
49×sub-neg
39×cancel-sign-sub-inv
35×associate--r+
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))

explain97.0ms (0.7%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2164(1.4445086509853213e-302 2.951024212603411e-305)3(3.9574550227327905e-268 7.357049168378339e-270)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20-1(20.117822792796932 1.489352706630187)(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Results
52.0ms274×1valid
14.0ms234×0valid
1.0ms4×2valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 30.0ms
ival-sin: 16.0ms (52.6% of total)
ival-add: 5.0ms (16.4% of total)
backward-pass: 5.0ms (16.4% of total)
ival-sub: 4.0ms (13.1% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize51.0ms (0.4%)

Algorithm
1×egg-herbie
Localize:

Found 8 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(sin.f64 x)
✓cost-diff0
(+.f64 x eps)
✓cost-diff0
(sin.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Rules
39×fma-define
32×fma-neg
12×sub-neg
10×distribute-rgt-in
10×unsub-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Results
18.0ms137×1valid
8.0ms117×0valid
0.0ms2×2valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 14.0ms
ival-sin: 6.0ms (44.1% of total)
ival-add: 3.0ms (22% of total)
ival-sub: 3.0ms (22% of total)
backward-pass: 2.0ms (14.7% of total)
const: 0.0ms (0% of total)

series9.0ms (0.1%)

Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (sin.f64 x)>
#<alt (+.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)))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
Calls

21 calls:

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

rewrite238.0ms (1.7%)

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
01268
116068
2246068
Stop Event
1×node limit
Counts
4 → 218
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(sin.f64 x)
(+.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))))
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(/.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)))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)

simplify164.0ms (1.2%)

Algorithm
1×egg-herbie
Rules
652×distribute-lft-in
511×fma-neg
481×times-frac
350×cancel-sign-sub-inv
238×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054210705
1121910322
235819977
Stop Event
1×node limit
Counts
294 → 316
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)))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(+.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))))
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(+.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)))
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
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 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 (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 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(*.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 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 x) (sin.f64 (+.f64 eps 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 (*.f64 #s(literal -1/6 binary64) x) (cos.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))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
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(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(+.f64 eps x)
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(+.f64 eps x)
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 eps x)
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(+.f64 eps x)
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(+.f64 eps x)
(log.f64 (exp.f64 (+.f64 x eps)))
(+.f64 eps x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(+.f64 eps x)
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(+.f64 eps x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(+.f64 eps x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(+.f64 eps x)
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 eps x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(+.f64 eps x)
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 eps x)
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(+.f64 eps x)
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)

eval107.0ms (0.8%)

Compiler

Compiled 5246 to 994 computations (81.1% saved)

prune42.0ms (0.3%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New3097316
Fresh000
Picked011
Done000
Total3098317
Accuracy
100.0%
Counts
317 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶61.7%
(-.f64 (sin.f64 (+.f64 x eps)) x)
9.4%
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
▶99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
▶99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶99.1%
(*.f64 eps (cos.f64 x))
▶98.1%
(sin.f64 eps)
Compiler

Compiled 177 to 120 computations (32.2% saved)

localize579.0ms (4.1%)

Algorithm
1×egg-herbie
Localize:

Found 28 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓cost-diff0
(cos.f64 x)
cost-diff0
(+.f64 x eps)
cost-diff0
(sin.f64 (+.f64 x eps))
✓cost-diff0
(-.f64 (sin.f64 (+.f64 x eps)) x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 eps (cos.f64 x))
✓cost-diff0
(sin.f64 eps)
✓cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓cost-diff128
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓cost-diff256
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
accuracy100.0%
(sin.f64 x)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
accuracy100.0%
(+.f64 x eps)
accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy63.5%
(-.f64 (sin.f64 (+.f64 x eps)) x)
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Rules
2446×fma-define
1123×associate-*r*
713×fma-neg
624×associate-*l*
467×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
032425
157417
2145417
3313399
4430399
5542399
6801399
71483399
82352399
93244399
103798399
114262399
124466399
134571399
144630399
154681399
165122399
175322399
185384399
195404399
205404399
215404399
225404399
235404399
247430399
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(-.f64 (sin.f64 (+.f64 x eps)) x)
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal -2 binary64) (sin.f64 (*.f64 eps #s(literal -1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(-.f64 (sin.f64 (+.f64 x eps)) x)
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
Results
70.0ms134×1valid
39.0ms120×0valid
1.0ms2×2valid
Compiler

Compiled 126 to 26 computations (79.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 70.0ms
ival-mult: 29.0ms (41.5% of total)
ival-sin: 10.0ms (14.3% of total)
ival-fma: 8.0ms (11.5% of total)
backward-pass: 7.0ms (10% of total)
ival-add: 6.0ms (8.6% of total)
ival-cos: 6.0ms (8.6% of total)
ival-sub: 2.0ms (2.9% of total)
const: 1.0ms (1.4% of total)

series43.0ms (0.3%)

Counts
13 → 166
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (sin.f64 eps)>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (cos.f64 x)>
#<alt (-.f64 (sin.f64 (+.f64 x eps)) x)>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
Outputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
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#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
Calls

66 calls:

TimeVariablePointExpression
7.0ms
x
@0
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
3.0ms
x
@inf
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
2.0ms
x
@-inf
(+ (cos x) (* -1/2 (* eps (sin x))))
2.0ms
eps
@-inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite272.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
876×log1p-expm1-u
226×associate-*r*
219×expm1-log1p-u
216×add-cube-cbrt
215×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
032310
1482302
26752302
Stop Event
1×node limit
Counts
13 → 298
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 #s(literal 0 binary64))) (*.f64 (cos.f64 eps) (sin.f64 #s(literal 0 binary64))))
(+.f64 (*.f64 (sin.f64 #s(literal 0 binary64)) (cos.f64 eps)) (*.f64 (cos.f64 #s(literal 0 binary64)) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) #s(literal 1 binary64))
(*.f64 (sin.f64 eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 eps))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(pow.f64 (sin.f64 eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 x)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)) eps)
(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 (cos.f64 x)) eps))
(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 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 x) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 x) #s(literal 1 binary64) x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) x))
(+.f64 (neg.f64 x) (sin.f64 (+.f64 x eps)))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) x)))
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(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) eps)
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))

simplify245.0ms (1.7%)

Algorithm
1×egg-herbie
Rules
764×associate-*r*
729×fma-neg
661×associate-*l*
632×fma-define
344×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
092917401
1226416319
2794316319
Stop Event
1×node limit
Counts
464 → 567
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1/48 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/3840 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/48 binary64)))))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/3840 binary64) (*.f64 #s(literal -1/645120 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/48 binary64)))))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(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 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)))))) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) x)
(*.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) x) #s(literal 1 binary64)))
(*.f64 x (-.f64 (/.f64 (sin.f64 (+.f64 eps x)) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) x)))))
(-.f64 (sin.f64 x) x)
(-.f64 (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) x)
(-.f64 (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))) x)
(-.f64 (+.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)))))))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(*.f64 eps (cos.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)))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.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 eps x)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 eps (*.f64 (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 -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
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(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) eps)
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) eps))
(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 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(*.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x))))))
(*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (cos.f64 x) (*.f64 (sin.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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64))) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (-.f64 (*.f64 (sin.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)) (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (neg.f64 (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (pow.f64 (cos.f64 x) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(fma.f64 (*.f64 eps (sin.f64 x)) #s(literal -1/2 binary64) (cos.f64 x))
(fma.f64 #s(literal 1 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (cos.f64 x))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 (sin.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 0 binary64) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) #s(literal 0 binary64)) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (sin.f64 x)) (*.f64 eps (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (sin.f64 x)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)) eps)
(pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sin.f64 x))) #s(literal 1 binary64)))
Outputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (neg.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(-.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 x (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(fma.f64 x (fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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x
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x
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eps
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eps
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#s(literal 1 binary64)
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(sin.f64 eps)
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(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) x)
(-.f64 (sin.f64 (+.f64 eps x)) x)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))
(*.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)) (fma.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)) (fma.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)) (fma.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 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))
(*.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)) (fma.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)) (fma.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)) (fma.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 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x))
(fma.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) x eps)
(+.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 #s(literal -1/2 binary64) (+.f64 (*.f64 eps x) (pow.f64 eps #s(literal 2 binary64))))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
(+.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 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 x (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/12 binary64)))))))
(fma.f64 x (fma.f64 x (fma.f64 eps #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/12 binary64)))) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))) eps)
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 eps x) #s(literal -1/2 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 (*.f64 eps #s(literal 1/12 binary64)) x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(fma.f64 x (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/2 binary64))) #s(literal 1 binary64))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
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(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
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(*.f64 (neg.f64 eps) (fma.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64))))
(+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))
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(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64)))))
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(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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(*.f64 eps x)
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(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
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(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(fabs.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
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eval93.0ms (0.7%)

Compiler

Compiled 12587 to 2621 computations (79.2% saved)

prune178.0ms (1.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New74611757
Fresh022
Picked325
Done011
Total74916765
Accuracy
100.0%
Counts
765 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
98.6%
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
62.9%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.9%
(-.f64 (sin.f64 eps) x)
9.4%
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
▶99.6%
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
▶99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
▶98.6%
(*.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))))
▶5.8%
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
✓99.1%
(*.f64 eps (cos.f64 x))
7.9%
(neg.f64 x)
▶98.1%
eps
Compiler

Compiled 346 to 237 computations (31.5% saved)

localize154.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 32 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
✓cost-diff0
(*.f64 eps #s(literal -1/2 binary64))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
✓cost-diff0
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
✓cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓cost-diff0
(+.f64 eps x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓cost-diff0
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓cost-diff128
(+.f64 eps #s(literal 0 binary64))
✓cost-diff128
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
cost-diff128
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy99.8%
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 eps #s(literal -1/2 binary64))
accuracy100.0%
(sin.f64 x)
✓accuracy99.8%
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓accuracy99.8%
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
Rules
978×fma-define
232×distribute-lft-in
165×distribute-rgt-in
133×associate-*r*
109×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033532
176520
2214520
3737520
41512520
52027520
62146520
72147520
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
#s(literal 1 binary64)
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
x
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
#s(literal -1/2 binary64)
(+.f64 eps x)
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
eps
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 x)
x
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
eps
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 x)
x
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(*.f64 (+.f64 eps x) (*.f64 x #s(literal -1/2 binary64)))
x
(*.f64 #s(literal -1/2 binary64) (+.f64 eps x))
#s(literal -1/2 binary64)
(+.f64 eps x)
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
eps
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 x)
x
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
eps
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(sin.f64 x)
x
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 eps (cos.f64 x))
(cos.f64 x)
Results
71.0ms256×0valid
Compiler

Compiled 162 to 28 computations (82.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
ival-mult: 21.0ms (58.6% of total)
ival-add: 6.0ms (16.8% of total)
ival-cos: 4.0ms (11.2% of total)
ival-sin: 4.0ms (11.2% of total)
const: 1.0ms (2.8% of total)
backward-pass: 0.0ms (0% of total)

series32.0ms (0.2%)

Counts
14 → 270
Calls
Call 1
Inputs
#<alt (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<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 -1/2 binary64) (+.f64 eps x))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))>
#<alt (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))>
#<alt (*.f64 eps #s(literal -1/2 binary64))>
#<alt (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))>
#<alt (+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))>
#<alt (+.f64 eps #s(literal 0 binary64))>
#<alt (+.f64 eps x)>
Outputs
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))>
#<alt (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) 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 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
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#<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 #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 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 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt x>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
Calls

72 calls:

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

rewrite234.0ms (1.7%)

Algorithm
1×batch-egg-rewrite
Rules
503×log1p-expm1-u
261×associate-*r*
229×expm1-log1p-u
227×add-cube-cbrt
225×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
033334
1531322
27522322
Stop Event
1×node limit
Counts
14 → 392
Calls
Call 1
Inputs
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.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 -1/2 binary64) (+.f64 eps x))
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps #s(literal -1/2 binary64))
(*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
(+.f64 eps x)
Outputs
(+.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (neg.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))) #s(literal 1 binary64))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(*.f64 (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x)))) (+.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(exp.f64 (log.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) eps)
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
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(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) eps (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (sqrt.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (sqrt.f64 (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 1/2 binary64) eps) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/2 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) eps)
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 eps x)))
(*.f64 (+.f64 eps x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(*.f64 (cbrt.f64 (+.f64 eps x)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)

simplify392.0ms (2.8%)

Algorithm
1×egg-herbie
Rules
770×fma-neg
727×fma-define
438×*-commutative
433×times-frac
366×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
093824564
1239223940
2772823938
Stop Event
1×node limit
Counts
662 → 655
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) 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 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(*.f64 eps #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 1 binary64)))
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps x))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 eps x)))
(*.f64 (+.f64 eps x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(*.f64 (cbrt.f64 (+.f64 eps x)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(*.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (sin.f64 x)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 #s(literal -1/8 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(fma.f64 eps (fma.f64 (cos.f64 x) (*.f64 eps #s(literal -1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 eps (fma.f64 #s(literal -1/8 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(fma.f64 eps (fma.f64 eps (fma.f64 (cos.f64 x) #s(literal -1/8 binary64) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/48 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (neg.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 x (fma.f64 (*.f64 x #s(literal -1/2 binary64)) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(fma.f64 x (fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal -1/2 binary64)) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (*.f64 x (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1/6 binary64)))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 x #s(literal 1/6 binary64)))) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.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 (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 2 binary64) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/12 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) #s(literal -1/12 binary64)) (*.f64 eps #s(literal 2 binary64)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal -1/12 binary64)))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 x) #s(literal -1/12 binary64)) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
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eps
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#s(literal 1 binary64)
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(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) eps)
(*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal -1/2 binary64) eps))
(pow.f64 (*.f64 #s(literal 1/2 binary64) eps) #s(literal 1 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(sqrt.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps #s(literal 1/2 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps #s(literal 1/2 binary64))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 eps #s(literal 1/2 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 1 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
(-.f64 eps #s(literal 0 binary64))
eps
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
eps
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 eps))
(*.f64 eps #s(literal 1 binary64))
eps
(*.f64 #s(literal 1 binary64) eps)
eps
(*.f64 (cbrt.f64 eps) (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cbrt.f64 eps) #s(literal 1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) eps))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
eps
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) #s(literal 1 binary64)))
eps
(*.f64 (pow.f64 eps #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
eps
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
eps
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
eps
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
eps
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
eps
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
eps
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
eps
(exp.f64 (log.f64 eps))
eps
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
eps
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
eps
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) #s(literal 0 binary64))
(*.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
eps
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 eps x)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(*.f64 (+.f64 eps x) #s(literal 1 binary64))
(+.f64 x eps)
(*.f64 #s(literal 1 binary64) (+.f64 eps x))
(+.f64 x eps)
(*.f64 (cbrt.f64 (+.f64 eps x)) (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (cbrt.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64))))
(*.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)))
(+.f64 x eps)
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.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 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.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 #s(literal 1 binary64) (/.f64 (-.f64 eps x) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 (+.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 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps x))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (*.f64 eps (-.f64 eps x))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(*.f64 #s(literal 1 binary64) (/.f64 (+.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 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (-.f64 eps x)))
(pow.f64 (+.f64 eps x) #s(literal 1 binary64))
(+.f64 x eps)
(pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 3 binary64))
(+.f64 x eps)
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(+.f64 x eps)
(pow.f64 (sqrt.f64 (+.f64 eps x)) #s(literal 2 binary64))
(+.f64 x eps)
(sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(fabs.f64 (+.f64 x eps))
(log.f64 (exp.f64 (+.f64 eps x)))
(+.f64 x eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps x))))
(+.f64 x eps)
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)))
(+.f64 x eps)
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 eps x)))
(+.f64 x eps)
(exp.f64 (log.f64 (+.f64 eps x)))
(+.f64 x eps)
(exp.f64 (*.f64 (log.f64 (+.f64 eps x)) #s(literal 1 binary64)))
(+.f64 x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 x eps)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 x eps)
(fma.f64 (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 (pow.f64 eps #s(literal 2 binary64))) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 x eps)

eval160.0ms (1.1%)

Compiler

Compiled 16969 to 3058 computations (82% saved)

prune134.0ms (1%)

Pruning

18 alts after pruning (11 fresh and 7 done)

PrunedKeptTotal
New9067913
Fresh448
Picked145
Done033
Total91118929
Accuracy
100.0%
Counts
929 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶7.9%
(-.f64 (sin.f64 eps) x)
98.6%
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
✓99.6%
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
▶100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
99.1%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
▶99.6%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
99.3%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓5.8%
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
5.8%
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
✓99.1%
(*.f64 eps (cos.f64 x))
▶7.9%
(neg.f64 x)
✓98.1%
eps
Compiler

Compiled 357 to 239 computations (33.1% saved)

localize249.0ms (1.8%)

Algorithm
1×egg-herbie
Localize:

Found 30 expressions of interest:

NewMetricScoreProgram
cost-diff-6272
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
✓cost-diff-6016
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
✓cost-diff256
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
cost-diff0
(sin.f64 eps)
✓cost-diff0
(-.f64 (sin.f64 eps) x)
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff0
(neg.f64 x)
cost-diff128
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
cost-diff128
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
✓accuracy100.0%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
accuracy99.9%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(-.f64 (sin.f64 eps) x)
✓accuracy100.0%
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(neg.f64 x)
✓accuracy100.0%
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓accuracy100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
Rules
735×fma-neg
467×distribute-lft-neg-in
463×associate-*r*
430×associate-+l-
404×unsub-neg
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038545
185531
2184531
3640531
42393531
53454531
63959531
74920531
86709531
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 x)
x
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 x)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (sin.f64 eps) x)
(sin.f64 eps)
eps
x
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
#s(literal 2 binary64)
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)))) #s(literal 2 binary64)))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x))))
(*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))
(cos.f64 x)
x
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 eps #s(literal 1/2 binary64))
eps
#s(literal 1/2 binary64)
(*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))
(sin.f64 x)
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(neg.f64 x)
x
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 x (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
x
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(-.f64 (sin.f64 eps) x)
(sin.f64 eps)
eps
x
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 1 binary64) eps))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(fma.f64 eps #s(literal 1/2 binary64) x)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
eps
#s(literal 2 binary64)
Results
82.0ms254×0valid
1.0ms1×2valid
1.0ms1×3valid
Compiler

Compiled 172 to 33 computations (80.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 48.0ms
ival-mult: 21.0ms (43.9% of total)
ival-sin: 10.0ms (20.9% of total)
ival-cos: 7.0ms (14.6% of total)
ival-add: 5.0ms (10.4% of total)
ival-sub: 3.0ms (6.3% of total)
const: 1.0ms (2.1% of total)
ival-neg: 1.0ms (2.1% of total)
backward-pass: 0.0ms (0% of total)

series35.0ms (0.2%)

Counts
11 → 184
Calls
Call 1
Inputs
#<alt (*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))>
#<alt (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))>
#<alt (neg.f64 x)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 x (*.f64 x #s(literal -1/2 binary64)))>
#<alt (-.f64 (sin.f64 eps) x)>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/8 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/384 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/8 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/384 binary64) (*.f64 #s(literal -1/46080 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/8 binary64))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 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 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #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 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<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 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.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 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.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 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 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 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 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 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (-.f64 eps x)>
#<alt (-.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))) x)>
#<alt (-.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64))))) x)>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) x))>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) x))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 x (-.f64 (/.f64 (sin.f64 eps) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 (sin.f64 eps) x) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (/.f64 (sin.f64 eps) x) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (sin.f64 eps) 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 -1/8 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 -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 eps (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 eps (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))))>
#<alt (*.f64 eps (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
Calls

48 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* 2 (sin (* (+ eps 0) 1/2))))
3.0ms
x
@0
(+ 1 (* x (* x -1/2)))
2.0ms
x
@inf
(* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
x
@-inf
(* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
eps
@inf
(* (- (* (cos x) (cos (* eps 1/2))) (* (sin x) (sin (* eps 1/2)))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite127.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
259×associate-*r*
244×log1p-expm1-u
244×expm1-log1p-u
239×add-cube-cbrt
238×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
038222
1659201
Stop Event
1×node limit
Counts
11 → 341
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 eps #s(literal 1/2 binary64)))
(neg.f64 x)
(+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 x (*.f64 x #s(literal -1/2 binary64)))
(-.f64 (sin.f64 eps) x)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
Outputs
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (fma.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (*.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))) #s(literal 1 binary64))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64)))
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(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(-.f64 (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (*.f64 x (sqrt.f64 #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(+.f64 x (sin.f64 eps))
(+.f64 (sin.f64 eps) x)
(+.f64 (+.f64 x (sin.f64 eps)) (fma.f64 x #s(literal 1 binary64) x))
(+.f64 (+.f64 x (sin.f64 eps)) (fma.f64 (neg.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 x #s(literal 2 binary64))) x))
(+.f64 (+.f64 x (sin.f64 eps)) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x))
(*.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 eps)))
(*.f64 (+.f64 x (sin.f64 eps)) #s(literal 1 binary64))
(*.f64 (cbrt.f64 (+.f64 x (sin.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (sin.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (sin.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 x (sin.f64 eps))) (sqrt.f64 (+.f64 x (sin.f64 eps))))
(*.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 x (sin.f64 eps)))))
(*.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (sin.f64 eps))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 x)))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 x (sin.f64 eps))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (sin.f64 eps)) (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 x (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x (sin.f64 eps)))))
(/.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (+.f64 x (sin.f64 eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 x (sin.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64))) (neg.f64 (+.f64 x (sin.f64 eps))))
(pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (sin.f64 eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (sin.f64 eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (sin.f64 eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (sin.f64 eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (sin.f64 eps))))
(log1p.f64 (expm1.f64 (+.f64 x (sin.f64 eps))))
(exp.f64 (log.f64 (+.f64 x (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (sin.f64 eps))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (sin.f64 eps) x)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 eps)) x)
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) x)
(+.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 eps (fma.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 (fma.f64 (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) eps))
(+.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 eps (*.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(+.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 0 binary64)) (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) eps) (*.f64 (*.f64 (sin.f64 x) (neg.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) eps))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) eps))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))

simplify359.0ms (2.6%)

Algorithm
1×egg-herbie
Rules
602×fma-neg
553×fma-define
414×distribute-rgt-in
405×distribute-lft-in
378×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
087822307
1218419926
2719119910
Stop Event
1×node limit
Counts
525 → 610
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
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(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (*.f64 eps (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))) eps))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) eps))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(/.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (pow.f64 eps #s(literal 2 binary64))) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps)
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(+.f64 eps #s(literal 0 binary64))
(+.f64 #s(literal 0 binary64) eps)
(-.f64 eps #s(literal 0 binary64))
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) x)))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))) x)) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 x (fma.f64 x (-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x #s(literal 1/3 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))) (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (fma.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (neg.f64 (sin.f64 x))))))
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(*.f64 eps (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (fma.f64 eps #s(literal -1/2 binary64) x))) (pow.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal -1/2 binary64)))) #s(literal 2 binary64)))))
(/.f64 (*.f64 (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps) (cos.f64 (+.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) eps))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 eps (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 eps (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)))
(+.f64 eps #s(literal 0 binary64))
eps
(+.f64 #s(literal 0 binary64) eps)
eps
(-.f64 eps #s(literal 0 binary64))
eps
(-.f64 eps (/.f64 #s(literal 0 binary64) eps))
eps
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 3 binary64))) (neg.f64 (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (neg.f64 (pow.f64 eps #s(literal 2 binary64))) (neg.f64 eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 2 binary64))) (-.f64 #s(literal 0 binary64) eps))
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) eps)
(/.f64 #s(literal 1 binary64) (/.f64 eps (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) eps)
(/.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 eps #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64)))
(/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 1 binary64))
eps
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
eps
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
eps
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
eps
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
eps
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
eps
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
eps
(exp.f64 (log.f64 eps))
eps
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
eps
(fma.f64 #s(literal 2 binary64) (*.f64 eps #s(literal 1/2 binary64)) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
eps
(fma.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64) #s(literal 0 binary64))
(fma.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps) #s(literal 0 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64))
eps
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
eps

eval150.0ms (1.1%)

Compiler

Compiled 17492 to 2623 computations (85% saved)

prune113.0ms (0.8%)

Pruning

17 alts after pruning (9 fresh and 8 done)

PrunedKeptTotal
New8474851
Fresh156
Picked325
Done167
Total85217869
Accuracy
100.0%
Counts
869 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
62.9%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
✓62.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.9%
(-.f64 eps x)
98.6%
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
✓99.6%
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
100.0%
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
99.1%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
✓99.6%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
✓98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
5.8%
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
99.6%
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
✓99.1%
(*.f64 eps (cos.f64 x))
✓7.9%
(neg.f64 x)
8.0%
x
✓98.1%
eps
Compiler

Compiled 494 to 227 computations (54% saved)

regimes27.0ms (0.2%)

Counts
30 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 eps) x)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
Calls

3 calls:

8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
eps
8.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
27 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 eps) x)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(+.f64 (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))) (*.f64 eps (cos.f64 x)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
Calls

3 calls:

8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes28.0ms (0.2%)

Counts
21 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 eps) x)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Calls

3 calls:

15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
20 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 eps) x)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(fma.f64 x (*.f64 #s(literal -1/2 binary64) (*.f64 eps (+.f64 eps x))) eps)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 1/2 binary64) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
Calls

3 calls:

7.0ms
x
6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
eps
Results
AccuracySegmentsBranch
99.6%1x
99.6%1eps
99.6%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes10.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes9.0ms (0.1%)

Counts
11 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
Outputs
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
Calls

2 calls:

5.0ms
x
4.0ms
eps
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Counts
8 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.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:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

3.0ms
x
3.0ms
eps
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes5.0ms (0%)

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

2 calls:

3.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.2%1eps
98.2%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

Accuracy

Total -60.4b remaining (-5029.7%)

Threshold costs -60.4b (-5029.7%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
x
(neg.f64 x)
(-.f64 eps x)
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
Outputs
eps
Calls

2 calls:

3.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.1%1eps
98.1%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify8.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
053387
1101387
2122387
3134387
4142387
5144387
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
eps
Outputs
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))
(*.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64)) (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (cos.f64 (-.f64 x (*.f64 #s(literal -1/2 binary64) eps))))
(*.f64 eps (cos.f64 (-.f64 x (*.f64 eps #s(literal -1/2 binary64)))))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 eps (*.f64 (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))) eps)
(+.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 x eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(*.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 x eps))))
eps

soundness1.0s (7.3%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
770×fma-neg
764×associate-*r*
729×fma-neg
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
054210705
1121910322
235819977
01268
116068
2246068
092917401
1226416319
2794316319
093824564
1239223940
2772823938
033334
1531322
27522322
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 888 to 298 computations (66.4% saved)

preprocess62.0ms (0.4%)

Compiler

Compiled 250 to 120 computations (52% saved)

end0.0ms (0%)

Profiling

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