2sin (example 3.3)

Time bar (total: 15.3s)

analyze46.0ms (0.3%)

Algorithm
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%49.4%0%25.3%0%3
0%0%25.3%49.4%0%25.3%0%4
0%0%19%49.4%0%31.6%0%5
0%0%15.8%49.4%0%34.8%0%6
0%0%11.1%49.4%0%39.5%0%7
0%0%8.7%49.4%0%41.9%0%8
0%0%5.9%49.4%0%44.6%0%9
0%0%4.5%49.4%0%46%0%10
0%0%3.1%49.4%0%47.5%0%11
0%0%2.7%49.4%0%47.9%0%12
Compiler

Compiled 27 to 19 computations (29.6% saved)

sample3.2s (21.2%)

Samples
1.2s6 622×0valid
946.0ms4 575×0invalid
400.0ms1 634×1valid
Precisions
Click to see histograms. Total time spent on operations: 2.2s
...in/eval/compile.rkt:77:19: 625.0ms (28.9% of total)
ival-sin: 441.0ms (20.4% of total)
ival-<=: 428.0ms (19.8% of total)
ival-mult: 167.0ms (7.7% of total)
ival-sub: 136.0ms (6.3% of total)
ival-add: 119.0ms (5.5% of total)
ival-fabs: 82.0ms (3.8% of total)
ival-<: 64.0ms (3% of total)
ival-and: 49.0ms (2.3% of total)
adjust: 29.0ms (1.3% of total)
...in/eval/compile.rkt:76:19: 14.0ms (0.6% of total)
ival-assert: 7.0ms (0.3% of total)
Bogosity

preprocess68.0ms (0.4%)

Algorithm
egg-herbie
Rules
154×fmm-def
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
7722210
8764210
9770210
Stop Event
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))

explain196.0ms (1.3%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
860-1(-2.3743270760692016e-86 3.439505526959979e-88)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
11(-310.46425908877166 1.0960864018064355e-5)0-(sin.f64 (+.f64 x eps))
00-0-eps
00-0-(+.f64 x eps)
00-0-(sin.f64 x)
00-0-x
Explanations
Click to see full explanations table
OperatorSubexpressionExplanationCount
-.f64(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))cancellation853
sin.f64(sin.f64 (+.f64 x eps))sensitivity20
Confusion
Predicted +Predicted -
+861
-0169
Precision
1.0
Recall
0.9885057471264368
Confusion?
Predicted +Predicted MaybePredicted -
+8610
-02167
Precision?
0.9775280898876404
Recall?
1.0
Freqs
test
numberfreq
0170
185
21
Total Confusion?
Predicted +Predicted MaybePredicted -
+100
-000
Precision?
1.0
Recall?
1.0
Samples
140.0ms412×0valid
9.0ms94×1valid
3.0ms3valid
0.0ms2valid
Compiler

Compiled 58 to 28 computations (51.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 19.0ms
ival-sin: 11.0ms (57% of total)
ival-add: 3.0ms (15.5% of total)
ival-sub: 3.0ms (15.5% of total)
adjust: 1.0ms (5.2% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 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
86.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify22.0ms (0.1%)

Algorithm
egg-herbie
Localize:

Found 4 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))
Rules
39×fma-define
32×fmm-def
12×sub-neg
10×distribute-rgt-in
associate--r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
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)

localize25.0ms (0.2%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(+.f64 x eps)
accuracy100.0%
(sin.f64 x)
accuracy99.8%
(sin.f64 (+.f64 x eps))
accuracy86.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Samples
11.0ms206×0valid
4.0ms47×1valid
2.0ms3valid
0.0ms2valid
Compiler

Compiled 20 to 8 computations (60% saved)

Precisions
Click to see histograms. Total time spent on operations: 9.0ms
ival-sin: 5.0ms (52.9% of total)
ival-add: 2.0ms (21.2% of total)
adjust: 1.0ms (10.6% of total)
ival-sub: 1.0ms (10.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series8.0ms (0%)

Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (sin.f64 x)>
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 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))))>
#<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)))))>
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@-inf
(+ x eps)
1.0ms
eps
@inf
(- (sin (+ x eps)) (sin x))
1.0ms
x
@0
(- (sin (+ x eps)) (sin x))
1.0ms
eps
@0
(- (sin (+ x eps)) (sin x))
0.0ms
x
@0
(sin (+ x eps))

rewrite378.0ms (2.5%)

Algorithm
batch-egg-rewrite
Rules
978×log1p-expm1-u
978×expm1-log1p-u
461×fma-define
401×log-prod
211×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01268
116068
2246068
Stop Event
node limit
Counts
4 → 218
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
(sin.f64 x)
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)))
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(/.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 (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)
(+.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)))

simplify150.0ms (1%)

Algorithm
egg-herbie
Rules
654×distribute-lft-in
511×fmm-def
481×times-frac
350×cancel-sign-sub-inv
238×fma-define
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054210705
1122410322
235859977
Stop Event
node limit
Counts
294 → 315
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)))
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))))
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)))))
(+.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 (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)
(+.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)))
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 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (sin.f64 x))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 eps (*.f64 (sin.f64 x) #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (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 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 (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)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
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(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)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(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 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.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 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x)))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)

eval72.0ms (0.5%)

Compiler

Compiled 5 250 to 989 computations (81.2% saved)

prune53.0ms (0.3%)

Pruning

11 alts after pruning (10 fresh and 1 done)

PrunedKeptTotal
New30510315
Fresh000
Picked011
Done000
Total30511316
Accuracy
100.0%
Counts
316 → 11
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
86.4%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
86.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
86.2%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
10.7%
(-.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))
86.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
99.7%
(*.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)))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.8%
(*.f64 eps (cos.f64 x))
98.4%
(sin.f64 eps)
Compiler

Compiled 311 to 202 computations (35% saved)

simplify424.0ms (2.8%)

Algorithm
egg-herbie
Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
cost-diff0
(cos.f64 eps)
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 (sin.f64 x) (cos.f64 eps))
cost-diff128
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
cost-diff0
(sin.f64 x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
cost-diff0
(cos.f64 x)
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
(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)))))
Rules
2 175×fmm-def
1 211×fma-define
460×distribute-lft-neg-in
383×distribute-rgt-neg-in
360×unsub-neg
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
041803
191787
2293780
3773762
41092762
51345762
61758762
72547762
83193762
93550762
104476762
115211762
125371762
135500762
145889762
156011762
166265762
176496762
186500762
196538762
206666762
216666762
226666762
Stop Event
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 (+.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)
(*.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)))))))
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))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (cos.f64 x) (sin.f64 eps))
(cos.f64 x)
(sin.f64 eps)
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 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.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)))
(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 (+.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 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 #s(literal -1/2 binary64) (*.f64 eps (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 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(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 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
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 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 x)
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 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#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) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
x
(cos.f64 eps)
eps
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cos.f64 x)
(sin.f64 eps)

localize412.0ms (2.7%)

Localize:

Found 17 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(*.f64 (cos.f64 x) (sin.f64 eps))
accuracy100.0%
(*.f64 (sin.f64 x) (cos.f64 eps))
accuracy100.0%
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
accuracy86.4%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
accuracy99.8%
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
accuracy100.0%
(*.f64 eps (sin.f64 x))
accuracy100.0%
(sin.f64 x)
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.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)))))
accuracy99.7%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Samples
148.0ms203×0valid
24.0ms47×1valid
9.0ms3valid
2.0ms2valid
Compiler

Compiled 227 to 37 computations (83.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 159.0ms
ival-add: 99.0ms (62.2% of total)
ival-mult: 32.0ms (20.1% of total)
ival-sin: 11.0ms (6.9% of total)
ival-cos: 8.0ms (5% of total)
...in/eval/compile.rkt:77:19: 5.0ms (3.1% of total)
adjust: 2.0ms (1.3% of total)
ival-sub: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
...in/eval/compile.rkt:76:19: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series50.0ms (0.3%)

Counts
19 → 244
Calls
Call 1
Inputs
#<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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))>
#<alt (sin.f64 eps)>
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (*.f64 (sin.f64 x) (cos.f64 eps))>
#<alt (cos.f64 eps)>
#<alt (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (*.f64 (cos.f64 x) (sin.f64 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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (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 1/2 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<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 (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))))>
#<alt (+.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))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (*.f64 eps x)>
#<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)))))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (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 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
#<alt (-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))>
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Calls

96 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(* -1/6 (* eps (cos x)))
4.0ms
eps
@0
(* (cos x) (sin eps))
2.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
2.0ms
eps
@-inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
x
@inf
(- (+ (* (sin x) (cos eps)) (* (cos x) (sin eps))) (sin x))

rewrite284.0ms (1.9%)

Algorithm
batch-egg-rewrite
Rules
333×associate-*r*
291×log1p-expm1-u
291×expm1-log1p-u
286×add-cube-cbrt
283×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
039526
1629470
Stop Event
node limit
Counts
19 → 422
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))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(sin.f64 eps)
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(cos.f64 eps)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (sin.f64 eps))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.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)))))) #s(literal 1 binary64))
(pow.f64 (*.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)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.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)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.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))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.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)))) #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 (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)))))))
(cbrt.f64 (pow.f64 (*.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)))) #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 (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))))))
(log1p.f64 (expm1.f64 (*.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))))))
(exp.f64 (log.f64 (*.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))))))
(exp.f64 (*.f64 (log.f64 (*.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))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(+.f64 (*.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 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (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 #s(literal 1 binary64) (sin.f64 eps))
(*.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 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.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 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 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 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 0 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 0 binary64)) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 2 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 1 binary64))
(sqrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64))))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))) #s(literal 1 binary64)))
(exp.f64 (+.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (log.f64 eps)))
(exp.f64 (+.f64 (log.f64 eps) (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(+.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))
(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 eps) (sin.f64 x)))
(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)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 1 binary64))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))

simplify4.4s (28.9%)

Algorithm
egg-herbie
Rules
678×fmm-def
408×distribute-rgt-in
393×distribute-lft-in
330×*-commutative
308×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0134329293
1352128375
2763128361
Stop Event
node limit
Counts
666 → 775
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))))))))
(+.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))))
(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 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 -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
eps
(*.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)))))
#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))))
(*.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 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(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 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 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)))))))))
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(/.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 2 binary64)))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 3 binary64))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (-.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (cos.f64 x)))) eps))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 2 binary64))) (pow.f64 eps #s(literal 3 binary64))) (*.f64 (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) (pow.f64 eps #s(literal 2 binary64))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 2 binary64))) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (-.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) eps))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (sin.f64 (-.f64 x eps))) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (sin.f64 (-.f64 x eps))))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.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 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (/.f64 #s(literal 1 binary64) (sin.f64 (-.f64 x eps))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 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)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(sin.f64 (+.f64 x eps))
(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 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.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 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 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 (*.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 (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))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) x)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) 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 #s(literal 1 binary64) (/.f64 (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 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))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 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))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x))))))))
(/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sin.f64 (-.f64 x eps)))
(sin.f64 (+.f64 eps x))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))))
(*.f64 #s(literal 1 binary64) (/.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))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))))))
(/.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (neg.f64 (sin.f64 (-.f64 x eps))))
(sin.f64 (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 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))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 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))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 2 binary64))) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (neg.f64 (sin.f64 x)))))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.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 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(/.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 (cos.f64 x) (sin.f64 eps))

eval405.0ms (2.6%)

Compiler

Compiled 21 956 to 4 083 computations (81.4% saved)

prune346.0ms (2.3%)

Pruning

16 alts after pruning (13 fresh and 3 done)

PrunedKeptTotal
New993111 004
Fresh325
Picked325
Done011
Total999161 015
Accuracy
100.0%
Counts
1 015 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
97.5%
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
86.4%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
86.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
86.2%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
99.7%
(*.f64 (*.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)))
99.6%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
99.1%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
98.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
98.8%
(*.f64 eps (cos.f64 x))
98.4%
(sin.f64 eps)
Compiler

Compiled 445 to 296 computations (33.5% saved)

simplify121.0ms (0.8%)

Algorithm
egg-herbie
Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
cost-diff128
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
cost-diff128
(*.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))))
cost-diff128
(cbrt.f64 (*.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)))))
cost-diff12992
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
cost-diff0
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
cost-diff0
(fma.f64 #s(literal 2 binary64) x eps)
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-diff0
(*.f64 #s(literal -1/6 binary64) eps)
cost-diff0
(cos.f64 x)
cost-diff128
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
cost-diff128
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
cost-diff0
(cos.f64 x)
cost-diff0
(*.f64 eps (cos.f64 x))
cost-diff0
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
cost-diff0
(cos.f64 x)
cost-diff0
(sin.f64 eps)
cost-diff0
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
Rules
671×fmm-def
411×distribute-lft-in
379×distribute-rgt-in
338×unsub-neg
317×fma-define
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501074
11251054
22901042
3727994
41890994
53713994
64100994
74469994
85148994
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(sin.f64 x)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) eps)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(cbrt.f64 (*.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 (*.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))))
(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 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 3 binary64)
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(sin.f64 x)
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
#s(literal -1 binary64)
(cos.f64 eps)
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))))
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)) #s(literal -1/2 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)))
(*.f64 #s(literal 1/12 binary64) (*.f64 x (+.f64 eps x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) (+.f64 eps x))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 eps #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps))
(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 x #s(literal 2 binary64) eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
x
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (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 x #s(literal 2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(cbrt.f64 (*.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)))))
(cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(cbrt.f64 (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #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 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (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 x #s(literal 2 binary64) eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(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 x #s(literal 2 binary64) eps)))
(cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))
(fma.f64 eps #s(literal 1/2 binary64) x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 x #s(literal 2 binary64) eps)
#s(literal 2 binary64)
x
eps
(*.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 #s(literal 1/2 binary64) eps))
(sin.f64 (*.f64 eps #s(literal 1/2 binary64)))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 3 binary64)

localize362.0ms (2.4%)

Localize:

Found 18 expressions of interest:

NewMetricScoreProgram
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 #s(literal 1/2 binary64) eps))))
accuracy99.7%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
accuracy99.0%
(cbrt.f64 (*.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)))))
accuracy99.0%
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
accuracy100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
accuracy99.7%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
accuracy99.7%
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
accuracy99.5%
(*.f64 #s(literal 1/12 binary64) x)
accuracy99.5%
(*.f64 #s(literal 1/12 binary64) eps)
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) eps)
accuracy100.0%
(*.f64 eps (cos.f64 x))
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(cos.f64 eps)
accuracy100.0%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
accuracy99.9%
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
accuracy50.2%
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
Samples
239.0ms250×1valid
4.0ms2valid
2.0ms5exit
2.0ms3valid
1.0ms0valid
Compiler

Compiled 327 to 47 computations (85.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 164.0ms
ival-mult: 58.0ms (35.4% of total)
ival-cos: 36.0ms (22% of total)
...in/eval/compile.rkt:77:19: 17.0ms (10.4% of total)
ival-add: 17.0ms (10.4% of total)
adjust: 12.0ms (7.3% of total)
ival-sin: 10.0ms (6.1% of total)
ival-pow: 5.0ms (3% of total)
ival-cbrt: 3.0ms (1.8% of total)
ival-pow2: 3.0ms (1.8% of total)
ival-sub: 2.0ms (1.2% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.6% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series62.0ms (0.4%)

Counts
15 → 223
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))>
#<alt (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (fma.f64 #s(literal 2 binary64) x eps)>
#<alt (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))>
#<alt (cbrt.f64 (*.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)))))>
#<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 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 #s(literal -1 binary64) (cos.f64 eps))>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
Outputs
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
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#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/40320 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/720 binary64))))) #s(literal 1/2 binary64)))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (-.f64 (cos.f64 eps) #s(literal 1 binary64))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))>
#<alt (+.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 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 -1/24 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 -1/8 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/24 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/24 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/24 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (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 -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (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 -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (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 -1 binary64) (*.f64 (pow.f64 eps #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (pow.f64 eps #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
eps
@0
(* -1/24 (pow eps 2))
5.0ms
x
@inf
(* eps (cos x))
3.0ms
eps
@0
(cbrt (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* 1/2 eps)))))
3.0ms
x
@0
(cbrt (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* 1/2 eps)))))
3.0ms
x
@inf
(pow (cbrt (* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* 1/2 eps))))) 3)

rewrite141.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
334×associate-*r*
289×log1p-expm1-u
289×expm1-log1p-u
283×add-cube-cbrt
281×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044430
1651424
Stop Event
node limit
Counts
15 → 344
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))
(*.f64 eps (cos.f64 x))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal -1/6 binary64) eps)
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(cbrt.f64 (*.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 (*.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 #s(literal -1 binary64) (cos.f64 eps))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64)) (*.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 1 binary64)))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) #s(literal -1 binary64))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))) #s(literal 2 binary64))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))) #s(literal 1 binary64)))
(+.f64 (*.f64 (sin.f64 x) #s(literal -1 binary64)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) #s(literal -1 binary64)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
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(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 1 binary64)))

simplify338.0ms (2.2%)

Algorithm
egg-herbie
Rules
506×fmm-def
370×distribute-rgt-in
369×distribute-lft-in
364×*-commutative
252×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0118212884926684
1325412884925976
2687812884925918
Stop Event
node limit
Counts
567 → 631
Calls
Call 1
Inputs
(*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 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 (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.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 #s(literal 1/24 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 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sin.f64 x)) (*.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 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))))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/12 binary64) x) (*.f64 #s(literal 1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) x) (*.f64 #s(literal -1/12 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 x eps))))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 x eps)) #s(literal 1/12 binary64))))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 x (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal 1/12 binary64) (/.f64 eps x))))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/12 binary64) (/.f64 eps x)) #s(literal 1/12 binary64))))
eps
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(*.f64 #s(literal 2 binary64) x)
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))
(*.f64 #s(literal 2 binary64) x)
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))
(*.f64 #s(literal 2 binary64) x)
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
(+.f64 eps (*.f64 #s(literal 2 binary64) x))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))) (*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))) (*.f64 (pow.f64 (cbrt.f64 #s(literal 2 binary64)) #s(literal 3 binary64)) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
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(pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 1 binary64)))
Outputs
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (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 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.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 (+.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 #s(literal 1/24 binary64)) (sin.f64 x))))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 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 (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 (cos.f64 eps) (-.f64 (*.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) (fma.f64 (*.f64 #s(literal -1/2 binary64) 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 (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #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 (*.f64 #s(literal -1/6 binary64) x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))) #s(literal 1 binary64)))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal -1 binary64)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))) #s(literal -1 binary64)))
(*.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1/120 binary64))))) #s(literal -1 binary64)))
(*.f64 x (+.f64 (cos.f64 eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (+.f64 #s(literal -1/6 binary64) (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal -1 binary64))))
(*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))
(*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (*.f64 #s(literal 1/120 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))))) #s(literal 1 binary64))))
(*.f64 x (+.f64 (cos.f64 eps) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/120 binary64))))) #s(literal -1 binary64))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.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 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 #s(literal 1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (sin.f64 x) #s(literal 1/24 binary64))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/720 binary64)))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sin.f64 x)) (*.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/40320 binary64))))))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/40320 binary64) #s(literal -1/720 binary64))))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
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(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(+.f64 (*.f64 eps (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))) (*.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64)) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) eps)) (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) eps))
(*.f64 eps (*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 eps (*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))))
(pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 3 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 2 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(log.f64 (pow.f64 (exp.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64))))) #s(literal 3 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 1/2 binary64))) (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))))) #s(literal 1 binary64)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 x #s(literal 2 binary64) eps))) (+.f64 eps (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/24 binary64))))

eval152.0ms (1%)

Compiler

Compiled 22 765 to 4 393 computations (80.7% saved)

prune243.0ms (1.6%)

Pruning

21 alts after pruning (16 fresh and 5 done)

PrunedKeptTotal
New9309939
Fresh178
Picked325
Done033
Total93421955
Accuracy
100.0%
Counts
955 → 21
Alt Table
Click to see full alt table
StatusAccuracyProgram
42.3%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
100.0%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
97.5%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
86.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
86.2%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
98.4%
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
99.7%
(*.f64 (*.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)))
99.6%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
99.1%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
98.8%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
98.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
98.8%
(*.f64 eps (cos.f64 x))
98.4%
(sin.f64 eps)
98.2%
eps
Compiler

Compiled 553 to 372 computations (32.7% saved)

simplify295.0ms (1.9%)

Algorithm
egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 eps)
cost-diff0
(*.f64 (sin.f64 eps) (cos.f64 x))
cost-diff128
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
cost-diff6400
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
cost-diff-6144
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
cost-diff0
(pow.f64 eps #s(literal 2 binary64))
cost-diff0
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
cost-diff0
(*.f64 #s(literal 1/2 binary64) eps)
cost-diff-6272
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
cost-diff0
(*.f64 #s(literal -1/6 binary64) eps)
cost-diff0
(*.f64 #s(literal -1/2 binary64) x)
cost-diff0
(cos.f64 x)
cost-diff0
(sin.f64 eps)
cost-diff64
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
cost-diff64
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
cost-diff6592
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
Rules
1 662×fma-define
875×fmm-def
626×unsub-neg
582×distribute-lft-in
567×distribute-rgt-in
Iterations

Useful iterations: 10 (0.0ms)

IterNodesCost
043775
1104755
2250716
3634716
41075716
51375716
61749716
72315716
82737716
93163716
103795704
114254704
124920704
136020704
146335704
156602704
166727704
177657704
Stop Event
node limit
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
(sin.f64 x)
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(tan.f64 (/.f64 eps #s(literal 2 binary64)))
(/.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 #s(literal -1/2 binary64) x)
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
#s(literal 1 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
eps
(cos.f64 x)
x
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(cos.f64 eps)
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
(*.f64 (sin.f64 eps) (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 x)))
(*.f64 (sin.f64 eps) (fma.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 x)) (cos.f64 x)))
(*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (tan.f64 (*.f64 eps #s(literal -1/2 binary64))) (cos.f64 x)))
(sin.f64 eps)
eps
(cos.f64 x)
x
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
(*.f64 (sin.f64 eps) (*.f64 (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))) (sin.f64 x)))
(*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (tan.f64 (*.f64 eps #s(literal -1/2 binary64)))))
(sin.f64 x)
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) (neg.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))
(tan.f64 (/.f64 eps #s(literal 2 binary64)))
(tan.f64 (*.f64 eps #s(literal 1/2 binary64)))
(/.f64 eps #s(literal 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 2 binary64)
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64)))))
(fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (*.f64 eps (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))))
(*.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps))
(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 2 binary64))
(*.f64 eps #s(literal 1/2 binary64))
#s(literal 1/2 binary64)
eps
x
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))
(fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal -1/24 binary64)
(pow.f64 eps #s(literal 2 binary64))
#s(literal 2 binary64)
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(sin.f64 eps)
eps
(cos.f64 x)
x
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(cos.f64 eps)

localize489.0ms (3.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 eps)
accuracy100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
accuracy100.0%
(*.f64 (sin.f64 x) (cos.f64 eps))
accuracy68.8%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
accuracy100.0%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
accuracy99.7%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
accuracy99.7%
(*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))
accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
accuracy99.8%
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))
accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) eps)
accuracy100.0%
(cos.f64 x)
accuracy100.0%
(*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
accuracy100.0%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
accuracy99.9%
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
Samples
122.0ms230×1valid
18.0ms14×2valid
5.0ms5exit
3.0ms0valid
Compiler

Compiled 217 to 38 computations (82.5% saved)

Precisions
Click to see histograms. Total time spent on operations: 112.0ms
ival-mult: 32.0ms (28.5% of total)
adjust: 17.0ms (15.1% of total)
ival-sin: 13.0ms (11.6% of total)
ival-add: 13.0ms (11.6% of total)
ival-cos: 12.0ms (10.7% of total)
...in/eval/compile.rkt:77:19: 10.0ms (8.9% of total)
ival-div: 3.0ms (2.7% of total)
ival-tan: 3.0ms (2.7% of total)
ival-sub: 2.0ms (1.8% of total)
ival-pow2: 2.0ms (1.8% of total)
ival-neg: 2.0ms (1.8% of total)
...in/eval/compile.rkt:76:19: 1.0ms (0.9% of total)
ival-assert: 0.0ms (0% of total)
ival-true: 0.0ms (0% of total)

series44.0ms (0.3%)

Counts
16 → 262
Calls
Call 1
Inputs
#<alt (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))>
#<alt (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))>
#<alt (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))>
#<alt (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))>
#<alt (*.f64 (sin.f64 eps) (cos.f64 x))>
#<alt (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))>
#<alt (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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
Outputs
#<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 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))>
#<alt (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x (*.f64 (sin.f64 eps) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
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#<alt (+.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))>
#<alt (+.f64 (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 eps (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))) (*.f64 #s(literal 1/6 binary64) (*.f64 eps (*.f64 x (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))))))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 eps (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
Calls

78 calls:

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

rewrite133.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
341×log1p-expm1-u
341×expm1-log1p-u
335×add-cube-cbrt
333×add-exp-log
333×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043521
1739467
Stop Event
node limit
Counts
16 → 317
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))))
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))
(*.f64 #s(literal 1/2 binary64) eps)
(pow.f64 eps #s(literal 2 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))
(*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 eps))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) (sqrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (neg.f64 (sin.f64 eps)) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))
(pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 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 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 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 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))))
(+.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) eps) (*.f64 (*.f64 eps #s(literal -1/6 binary64)) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 1 binary64)))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps (*.f64 eps #s(literal -1/6 binary64))))
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(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) eps))
(+.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 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 #s(literal 1 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 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 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) #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 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))

simplify361.0ms (2.4%)

Algorithm
egg-herbie
Rules
771×fma-define
440×times-frac
433×distribute-rgt-in
430×distribute-lft-in
297×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0106225580
1278424223
2706323907
Stop Event
node limit
Counts
579 → 605
Calls
Call 1
Inputs
(*.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 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/12 binary64) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))))))
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 (cos.f64 x) (sin.f64 eps)))
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eps
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(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) #s(literal 1 binary64))
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 1 binary64)))
(-.f64 #s(literal 0 binary64) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 2 binary64))
(neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) (sin.f64 eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) #s(literal 3 binary64)) (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (tan.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64)) (pow.f64 (sin.f64 eps) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(*.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(/.f64 (+.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal -1/8 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/216 binary64))) (+.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))))
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps #s(literal -1/6 binary64)) #s(literal 2 binary64))) (-.f64 (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(cbrt.f64 (pow.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(log1p.f64 (expm1.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(exp.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/2 binary64) x (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 x #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/6 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/6 binary64))) (*.f64 x #s(literal -1/2 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64))))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (fma.f64 x #s(literal -1/2 binary64) (*.f64 eps #s(literal -1/6 binary64)))) eps))
(+.f64 (fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))) (fma.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(-.f64 (*.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x)) (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 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 #s(literal 1 binary64) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(*.f64 (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(cbrt.f64 (pow.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log1p.f64 (expm1.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(exp.f64 (log.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 (*.f64 eps #s(literal 1/2 binary64))) (cos.f64 x) (neg.f64 (*.f64 (sin.f64 (*.f64 eps #s(literal 1/2 binary64))) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 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 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) #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 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
Outputs
(*.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 (+.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 eps (cos.f64 x)) #s(literal -1/6 binary64))))))
(*.f64 eps (fma.f64 eps (fma.f64 (*.f64 eps (cos.f64 x)) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
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(*.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))))
(*.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (*.f64 eps (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/24 binary64) #s(literal 1 binary64))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))) #s(literal 1 binary64)))
(*.f64 (+.f64 eps (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)))) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))
(*.f64 (fma.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 3 binary64)) eps) (cos.f64 (fma.f64 eps #s(literal 1/2 binary64) x)))

eval117.0ms (0.8%)

Compiler

Compiled 17 958 to 3 270 computations (81.8% saved)

prune127.0ms (0.8%)

Pruning

18 alts after pruning (9 fresh and 9 done)

PrunedKeptTotal
New8535858
Fresh7411
Picked145
Done055
Total86118879
Accuracy
100.0%
Counts
879 → 18
Alt Table
Click to see full alt table
StatusAccuracyProgram
99.8%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
100.0%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
97.5%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
100.0%
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
86.2%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
86.2%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
99.8%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
8.6%
(+.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
99.6%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
99.1%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
98.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
98.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
98.8%
(*.f64 eps (cos.f64 x))
98.4%
(sin.f64 eps)
98.2%
eps
Compiler

Compiled 758 to 332 computations (56.2% saved)

regimes31.0ms (0.2%)

Counts
36 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(+.f64 (*.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (log.f64 (exp.f64 (cos.f64 eps)))) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.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))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
Calls

3 calls:

10.0ms
eps
9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
9.0ms
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)

regimes27.0ms (0.2%)

Counts
30 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(pow.f64 (cbrt.f64 (*.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))))) #s(literal 3 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
Outputs
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
Calls

3 calls:

9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
x
8.0ms
eps
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
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
Calls

3 calls:

8.0ms
eps
7.0ms
x
7.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes23.0ms (0.2%)

Counts
24 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
Calls

3 calls:

8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
x
6.0ms
eps
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes20.0ms (0.1%)

Counts
22 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.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 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.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 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Outputs
(*.f64 (*.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)))
Calls

3 calls:

7.0ms
eps
6.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
99.7%1x
99.7%1eps
99.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes15.0ms (0.1%)

Counts
15 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
Calls

3 calls:

5.0ms
eps
5.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0ms
x
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)

regimes7.0ms (0%)

Counts
9 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
Calls

2 calls:

3.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
99.1%1x
99.1%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes10.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
Outputs
(*.f64 eps (cos.f64 x))
Calls

2 calls:

7.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.8%1x
98.8%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
Outputs
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
Calls

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

1.0ms
x
1.0ms
eps
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

Accuracy

Total 0.0b remaining (0%)

Threshold costs 0b (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
34×*-commutative
20×+-commutative
11×sub-neg
neg-sub0
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
066534
1119534
2146534
3167534
4177534
5180534
6181534
Stop Event
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (*.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)))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (*.f64 (sin.f64 eps) (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (neg.f64 (tan.f64 (/.f64 eps #s(literal 2 binary64)))))))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (tan.f64 (*.f64 eps #s(literal 1/2 binary64))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 #s(literal -1 binary64) (cos.f64 eps))))
(*.f64 (*.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)))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))) (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (*.f64 eps eps)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/6 binary64)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 eps #s(literal 1/12 binary64)) (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 eps #s(literal -1/6 binary64)) (*.f64 x #s(literal -1/2 binary64))))))
eps

soundness1.5s (9.5%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
678×fmm-def
654×distribute-lft-in
511×fmm-def
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
044430
1651424
043521
1739467
054210705
1122410322
235859977
01268
116068
2246068
0118212884926684
1325412884925976
2687812884925918
039526
1629470
0134329293
1352128375
2763128361
Stop Event
fuel
node limit
node limit
node limit
node limit
node limit
node limit
node limit
Compiler

Compiled 1 413 to 467 computations (66.9% saved)

preprocess88.0ms (0.6%)

Compiler

Compiled 386 to 194 computations (49.7% saved)

end0.0ms (0%)

Profiling

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