2sin (example 3.3)

Time bar (total: 14.9s)

analyze51.0ms (0.3%)

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

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 27.0ms
ival-sin: 9.0ms (33.6% of total)
ival-mult: 4.0ms (14.9% of total)
ival-fabs: 3.0ms (11.2% of total)
ival-<=: 3.0ms (11.2% of total)
ival-<: 3.0ms (11.2% of total)
ival-add: 2.0ms (7.5% of total)
ival-sub: 2.0ms (7.5% of total)
ival-and: 1.0ms (3.7% of total)
const: 1.0ms (3.7% of total)

sample7.7s (51.7%)

Results
3.6s25913×0precondition
1.0s6145×0valid
1.1s2111×1valid
Precisions
Click to see histograms. Total time spent on operations: 4.0s
ival-sin: 965.0ms (24.3% of total)
ival-mult: 702.0ms (17.7% of total)
ival-<=: 527.0ms (13.3% of total)
ival-fabs: 514.0ms (12.9% of total)
ival-add: 393.0ms (9.9% of total)
ival-<: 372.0ms (9.4% of total)
ival-sub: 223.0ms (5.6% of total)
ival-and: 122.0ms (3.1% of total)
backward-pass: 90.0ms (2.3% of total)
const: 66.0ms (1.7% of total)
Bogosity

preprocess65.0ms (0.4%)

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

Useful iterations: 1 (0.0ms)

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

explain83.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2193(-3.551656549521857e-225 2.562368112964922e-227)2(1.8415432837816241e-143 2.684171199351125e-145)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
30-1(-34.20593182302667 1.7965068244081597e-7)(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Results
47.0ms506×256valid
6.0ms6×2048valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 22.0ms
ival-sin: 16.0ms (72.8% of total)
ival-add: 3.0ms (13.7% of total)
ival-sub: 3.0ms (13.7% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶63.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize36.0ms (0.2%)

Localize:

Found 2 expressions with local error:

NewAccuracyProgram
✓99.9%
(sin.f64 (+.f64 x eps))
✓64.0%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
25.0ms253×256valid
3.0ms3×2048valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 10.0ms
ival-sin: 6.0ms (62.5% of total)
ival-add: 2.0ms (20.8% of total)
ival-sub: 1.0ms (10.4% of total)
const: 0.0ms (0% of total)

series5.0ms (0%)

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

12 calls:

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

rewrite291.0ms (2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
116047
2246047
Stop Event
1×node limit
Counts
2 → 156
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
Outputs
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #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 (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)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.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))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
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(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)))

simplify131.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
354×sub-neg
333×fma-neg
311×div-sub
302×distribute-lft-in
282×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03919164
18778900
224728504
369978504
Stop Event
1×node limit
Counts
204 → 204
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #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 (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)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (+.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))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (neg.f64 (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (/.f64 #s(literal 1 binary64) (exp.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) (pow.f64 (sin.f64 x) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)) (pow.f64 (sin.f64 x) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) (cbrt.f64 (neg.f64 (sin.f64 x)))) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 #s(literal -1 binary64) (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64)))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 #s(literal 0 binary64) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(*.f64 (cbrt.f64 (pow.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)))
(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 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(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))))
(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))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)) (*.f64 (sin.f64 eps) #s(literal -1/2 binary64))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (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 (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 (+.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 (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps #s(literal 1/24 binary64)))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(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))))))))
(fma.f64 x (fma.f64 x (fma.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps)) (*.f64 (sin.f64 eps) #s(literal -1/2 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)))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(sin.f64 (+.f64 eps x))
(-.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 eps (+.f64 x #s(literal 1 binary64)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (+.f64 eps (+.f64 x #s(literal 1 binary64)))) (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))
(sin.f64 (+.f64 eps x))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))))
(sin.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (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 (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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) (*.f64 (cos.f64 eps) (cos.f64 eps)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.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)))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) #s(literal 2 binary64)))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) (sin.f64 (-.f64 x eps)))
(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)))
(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))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 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))))
(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 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval50.0ms (0.3%)

Compiler

Compiled 3597 to 1055 computations (70.7% saved)

prune36.0ms (0.2%)

Pruning

8 alts after pruning (7 fresh and 1 done)

PrunedKeptTotal
New1977204
Fresh000
Picked011
Done000
Total1978205
Accuracy
99.9%
Counts
205 → 8
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.7%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
▶64.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.4%
(*.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)))))))
▶99.2%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶98.7%
(*.f64 eps (cos.f64 x))
▶98.0%
(sin.f64 eps)
Compiler

Compiled 199 to 142 computations (28.6% saved)

localize287.0ms (1.9%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓63.9%
(+.f64 x (-.f64 eps x))
✓100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓100.0%
(*.f64 eps (sin.f64 x))
✓100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
✓99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Results
157.0ms256×256valid
Compiler

Compiled 185 to 84 computations (54.6% saved)

Precisions
Click to see histograms. Total time spent on operations: 115.0ms
ival-mult: 59.0ms (51.5% of total)
ival-sin: 15.0ms (13.1% of total)
composed: 14.0ms (12.2% of total)
ival-cos: 12.0ms (10.5% of total)
ival-add: 10.0ms (8.7% of total)
const: 4.0ms (3.5% of total)
ival-sub: 1.0ms (0.9% of total)

series95.0ms (0.6%)

Counts
10 → 158
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 x (-.f64 eps x))>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
Outputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 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 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))>
#<alt (*.f64 #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)))))>
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#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
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#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
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#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (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 (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 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
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#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 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 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (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 (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 (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 (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 (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 (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 (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 1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (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 (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 (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 (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 (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 (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 (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)))>
Calls

60 calls:

TimeVariablePointExpression
60.0ms
x
@inf
(* eps (cos x))
3.0ms
x
@0
(* (sin (* (+ x (- eps x)) 1/2)) (cos (* (+ eps (+ x x)) 1/2)))
2.0ms
eps
@0
(cos (* (+ eps (+ x x)) 1/2))
2.0ms
eps
@0
(* eps (cos x))
1.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* eps 1/2))))

rewrite210.0ms (1.4%)

Algorithm
1×batch-egg-rewrite
Rules
457×log1p-expm1-u
257×associate-*r*
246×expm1-log1p-u
244×add-cube-cbrt
242×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
035322
1575290
27693290
Stop Event
1×node limit
Counts
10 → 327
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 x (-.f64 eps x))
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
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(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 1 binary64)))

simplify80.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
247×*-commutative
96×+-commutative
73×associate-*r*
50×distribute-rgt-in
50×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
084217894
1216517894
Stop Event
1×unsound
Counts
485 → 363
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 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 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 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(*.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))))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(cos.f64 x)
(+.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))))
(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))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
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(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 1 binary64)))
Outputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 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 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 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))
(*.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))))))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
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(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))) #s(literal 1 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 1 binary64))
(*.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/2 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 2 binary64))) (cbrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) (sqrt.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(/.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 eps #s(literal 0 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps #s(literal 0 binary64)))))) #s(literal 1 binary64)))

eval137.0ms (0.9%)

Compiler

Compiled 6817 to 4386 computations (35.7% saved)

prune67.0ms (0.4%)

Pruning

16 alts after pruning (12 fresh and 4 done)

PrunedKeptTotal
New35310363
Fresh022
Picked235
Done011
Total35516371
Accuracy
100.0%
Counts
371 → 16
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
99.7%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
▶98.4%
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
99.4%
(*.f64 (+.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 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶64.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
99.4%
(*.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)))))))
✓99.2%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
97.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓98.7%
(*.f64 eps (cos.f64 x))
✓98.0%
(sin.f64 eps)
▶98.0%
eps
Compiler

Compiled 418 to 304 computations (27.3% saved)

localize462.0ms (3.1%)

Localize:

Found 10 expressions with local error:

NewAccuracyProgram
✓100.0%
(*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
✓99.9%
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
✓64.0%
(-.f64 (+.f64 x eps) x)
✓100.0%
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
✓99.9%
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
✓99.8%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
✓100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
✓99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
Results
376.0ms256×256valid
Compiler

Compiled 231 to 133 computations (42.4% saved)

Precisions
Click to see histograms. Total time spent on operations: 186.0ms
ival-mult: 120.0ms (64.7% of total)
ival-pow: 16.0ms (8.6% of total)
ival-cos: 14.0ms (7.5% of total)
ival-add: 12.0ms (6.5% of total)
ival-sin: 11.0ms (5.9% of total)
ival-sub: 7.0ms (3.8% of total)
const: 6.0ms (3.2% of total)

series26.0ms (0.2%)

Counts
10 → 170
Calls
Call 1
Inputs
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))>
#<alt (*.f64 eps (pow.f64 x #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (-.f64 (+.f64 x eps) x)>
#<alt (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))>
Outputs
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
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#<alt (*.f64 (cos.f64 (*.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 (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 (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 (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 (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 (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 (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 (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 1/2 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))>
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 (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 (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 (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 (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 (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 (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 (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)))>
Calls

60 calls:

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

rewrite126.0ms (0.8%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
039343
1684319
Stop Event
1×node limit
Counts
10 → 258
Calls
Call 1
Inputs
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 eps (pow.f64 x #s(literal 2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(-.f64 (+.f64 x eps) x)
(cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))
(*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal 1 binary64))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 #s(literal 1 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1 binary64)))
(+.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(-.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) #s(literal 1 binary64))
(*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))
(*.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) x)
(*.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64))) (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (-.f64 (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))) (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) #s(literal 3 binary64))) (+.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (-.f64 (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)) (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)))))
(/.f64 (-.f64 (*.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 x (*.f64 x #s(literal -1/2 binary64))) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))) (-.f64 (*.f64 x (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 (*.f64 (*.f64 x #s(literal -1/2 binary64)) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))) (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 x #s(literal -1/2 binary64)) x)))
(pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 #s(literal -1/2 binary64)) (+.f64 eps x)) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) #s(literal 1 binary64)))
(fma.f64 x (*.f64 #s(literal 1/2 binary64) eps) (*.f64 x (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 (*.f64 #s(literal 1/2 binary64) eps) x (*.f64 (*.f64 x #s(literal -1/2 binary64)) x))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)))
(*.f64 #s(literal 1 binary64) (*.f64 eps (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64))))
(*.f64 (fma.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)) #s(literal 1 binary64)) eps)
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(-.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x)))))
(-.f64 (/.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))) (/.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(*.f64 #s(literal 1 binary64) (+.f64 x (-.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x)))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) x)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (neg.f64 (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (-.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (-.f64 eps x) (-.f64 eps x)) (*.f64 x (-.f64 eps x)))))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (-.f64 (*.f64 (neg.f64 x) (neg.f64 x)) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) (-.f64 eps x))) (-.f64 x (-.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))
(pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x (-.f64 eps x)))))
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) x (-.f64 eps x))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 1 binary64)))

simplify67.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
143×*-commutative
86×+-commutative
48×sub-neg
40×associate-*r*
37×fma-define
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069418556
1182118556
Stop Event
1×unsound
Counts
428 → 283
Calls
Call 1
Inputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(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) 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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))
(*.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)))
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(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) (-.f64 eps x))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 x))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))
(*.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 1 binary64)))
Outputs
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal -1/2 binary64) (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(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) 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))))
(*.f64 #s(literal 1/2 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 1/2 binary64) (cos.f64 x))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))
(*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) (cos.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/4 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (+.f64 (*.f64 #s(literal -1/48 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))))))))
(*.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 (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 (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 (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 (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 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 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 (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)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.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 (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 (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 (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 -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/2 binary64) x) (*.f64 #s(literal 1/2 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))))
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(*.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 1/2 binary64))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))))
(/.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) #s(literal 2 binary64))
(/.f64 (neg.f64 (+.f64 (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (neg.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))))) (sin.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))))) #s(literal -2 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x))))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64)) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (/.f64 #s(literal 0 binary64) #s(literal 0 binary64))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 x (-.f64 eps x)))))) #s(literal 1 binary64)))

eval111.0ms (0.7%)

Compiler

Compiled 5609 to 3784 computations (32.5% saved)

prune53.0ms (0.4%)

Pruning

17 alts after pruning (10 fresh and 7 done)

PrunedKeptTotal
New2803283
Fresh077
Picked235
Done044
Total28217299
Accuracy
100.0%
Counts
299 → 17
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.7%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
98.6%
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
99.4%
(*.f64 (+.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 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
▶38.1%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
38.3%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) (-.f64 eps x))) (-.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))
✓64.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
▶99.4%
(*.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)))))))
✓99.2%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
▶98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
▶97.9%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓98.7%
(*.f64 eps (cos.f64 x))
✓98.0%
(sin.f64 eps)
✓98.0%
eps
Compiler

Compiled 485 to 333 computations (31.3% saved)

localize2.8s (18.6%)

Localize:

Found 17 expressions with local error:

NewAccuracyProgram
✓99.6%
(-.f64 (+.f64 eps x) (neg.f64 x))
✓99.6%
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
✓82.3%
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
✓56.6%
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))
100.0%
(*.f64 eps (cos.f64 x))
✓100.0%
(+.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))))))
✓99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
✓99.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
✓99.8%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓99.8%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
✓100.0%
(*.f64 (sin.f64 eps) (cos.f64 x))
✓99.9%
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
✓52.1%
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
Results
1.4s131×2048valid
692.0ms68×1024valid
122.0ms33×512valid
25.0ms23×256valid
25.0ms1×8192exit
Compiler

Compiled 428 to 181 computations (57.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 2.0s
ival-mult: 668.0ms (34.2% of total)
ival-sin: 610.0ms (31.2% of total)
ival-cos: 203.0ms (10.4% of total)
ival-add: 179.0ms (9.2% of total)
ival-pow: 152.0ms (7.8% of total)
ival-sub: 69.0ms (3.5% of total)
ival-div: 36.0ms (1.8% of total)
const: 24.0ms (1.2% of total)
ival-neg: 13.0ms (0.7% of total)

series152.0ms (1%)

Counts
16 → 276
Calls
Call 1
Inputs
#<alt (+.f64 (cos.f64 eps) #s(literal -1 binary64))>
#<alt (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))>
#<alt (*.f64 (sin.f64 eps) (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (+.f64 (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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))>
#<alt (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))>
#<alt (pow.f64 (+.f64 eps x) #s(literal 2 binary64))>
#<alt (-.f64 (+.f64 eps x) (neg.f64 x))>
Outputs
#<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 x (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64))))))) #s(literal 1 binary64)))>
#<alt (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64))) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))) (*.f64 #s(literal 1/120 binary64) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))))))) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 #s(literal 1/24 binary64) (sin.f64 x))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/24 binary64) (sin.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (sin.f64 x)) (*.f64 #s(literal 1/40320 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))))))))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) #s(literal 1 binary64)))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))>
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#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/2 binary64)))))))>
#<alt (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64)))) #s(literal 1/2 binary64)))))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (/.f64 (cos.f64 x) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) (sin.f64 x))) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 2 binary64) eps) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 eps (+.f64 eps (*.f64 #s(literal 2 binary64) x))) (pow.f64 x #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 x eps)) (/.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) x) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 x #s(literal 2 binary64)) eps))) eps))))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 eps x)) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 x (+.f64 x (*.f64 #s(literal 2 binary64) eps))) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (+.f64 (*.f64 #s(literal 2 binary64) (/.f64 eps x)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))>
#<alt (pow.f64 x #s(literal 2 binary64))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 eps x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 (*.f64 #s(literal -2 binary64) eps) (*.f64 #s(literal -1 binary64) (/.f64 (pow.f64 eps #s(literal 2 binary64)) x))) x))))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (/.f64 x eps))))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (+.f64 eps (*.f64 #s(literal 2 binary64) x))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 2 binary64) (/.f64 eps x)))>
#<alt (*.f64 #s(literal 2 binary64) x)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 2 binary64))))>
Calls

93 calls:

TimeVariablePointExpression
47.0ms
eps
@inf
(* 1/12 (* eps x))
21.0ms
eps
@0
(+ (cos eps) -1)
2.0ms
x
@0
(/ (- (pow (+ eps x) 2) (* (neg x) (neg x))) (- (+ eps x) (neg x)))
1.0ms
x
@inf
(/ (- (pow (+ eps x) 2) (* (neg x) (neg x))) (- (+ eps x) (neg x)))
1.0ms
eps
@0
(/ (- (pow (+ eps x) 2) (* (neg x) (neg x))) (- (+ eps x) (neg x)))

rewrite100.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
409×log1p-expm1-u
409×expm1-log1p-u
403×add-cube-cbrt
398×add-exp-log
398×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047570
1859552
Stop Event
1×node limit
Counts
16 → 391
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (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 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x)))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x)))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(-.f64 (+.f64 eps x) (neg.f64 x))
Outputs
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(+.f64 #s(literal -1 binary64) (cos.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 (cos.f64 eps) #s(literal -1 binary64)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 2 binary64))) (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) #s(literal 3 binary64)) #s(literal -1 binary64)) (+.f64 (pow.f64 (cos.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64))) (-.f64 (cos.f64 eps) #s(literal -1 binary64)))
(pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (cos.f64 eps) #s(literal -1 binary64))
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(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x (neg.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(+.f64 eps (-.f64 x (neg.f64 x)))
(+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 eps (-.f64 x (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps (-.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (-.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (-.f64 x (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (-.f64 x (neg.f64 x)))

simplify304.0ms (2%)

Algorithm
1×egg-herbie
Rules
835×fma-define
406×distribute-rgt-in
403×distribute-lft-in
367×fma-neg
281×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0112926787
1275425557
2792625553
Stop Event
1×node limit
Counts
667 → 635
Calls
Call 1
Inputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.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)))
(*.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)))
(*.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)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(-.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)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x))) (*.f64 #s(literal 1/120 binary64) (cos.f64 x))))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (sin.f64 eps))) (*.f64 #s(literal 1/24 binary64) (sin.f64 eps)))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 (pow.f64 x #s(literal 3 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 3 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x)))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1/2 binary64)) x)) (*.f64 #s(literal -1/12 binary64) eps))))
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(+.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (fma.f64 (neg.f64 (sqrt.f64 (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (pow.f64 x #s(literal 2 binary64))) (pow.f64 x #s(literal 2 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (neg.f64 (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)))))) (fma.f64 (neg.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64))))))
(-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) (pow.f64 (neg.f64 x) #s(literal 6 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (+.f64 (pow.f64 (neg.f64 x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 eps x) (neg.f64 x)) #s(literal 2 binary64)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64)) (pow.f64 (neg.f64 x) #s(literal 4 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))
(pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))))))
(cbrt.f64 (pow.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(log1p.f64 (expm1.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 x (neg.f64 x)))
(fma.f64 (+.f64 eps x) (+.f64 eps x) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 x (neg.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (neg.f64 (pow.f64 x #s(literal 2 binary64))))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 x (neg.f64 x)))
(fma.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (*.f64 (neg.f64 (neg.f64 x)) (neg.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))
(*.f64 (+.f64 eps x) (+.f64 eps x))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 4 binary64))) (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)))
(*.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(pow.f64 (+.f64 eps x) #s(literal 2 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) #s(literal 1 binary64))
(pow.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))) #s(literal 2 binary64))
(log.f64 (exp.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)))))
(cbrt.f64 (pow.f64 (+.f64 eps x) #s(literal 6 binary64)))
(expm1.f64 (log1p.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(log1p.f64 (expm1.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64))))
(exp.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 eps x))))
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (+.f64 eps x))) #s(literal 1 binary64)))
(+.f64 eps (-.f64 x (neg.f64 x)))
(+.f64 (+.f64 eps x) (neg.f64 (neg.f64 x)))
(+.f64 (+.f64 eps (-.f64 x (neg.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (neg.f64 x))) (sqrt.f64 (neg.f64 x)) (neg.f64 x)))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(-.f64 (+.f64 eps x) (neg.f64 x))
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 eps (-.f64 x (neg.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64))
(log.f64 (exp.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(log1p.f64 (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(exp.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps (-.f64 x (neg.f64 x)))
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (-.f64 x (neg.f64 x)))
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (-.f64 x (neg.f64 x)))
Outputs
(*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(*.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)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/24 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)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/40320 binary64) #s(literal -1/720 binary64)) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.f64 (cos.f64 eps) #s(literal -1 binary64))
(-.f64 (cos.f64 eps) #s(literal 1 binary64))
(+.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 (cos.f64 eps) (fma.f64 (*.f64 #s(literal -1/6 binary64) (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 (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))))
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(sin.f64 eps)
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eps
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(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
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eps
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(+.f64 (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x #s(literal 0 binary64)))
(+.f64 (fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (-.f64 (+.f64 eps x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 x #s(literal -1 binary64)))) (fma.f64 (neg.f64 x) #s(literal -1 binary64) (*.f64 x #s(literal -1 binary64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x #s(literal 0 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)))) (fma.f64 (neg.f64 (neg.f64 x)) #s(literal 1 binary64) (*.f64 (neg.f64 x) #s(literal 1 binary64))))
(+.f64 (fma.f64 #s(literal 2 binary64) x eps) (*.f64 x #s(literal 0 binary64)))
(+.f64 (fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64))))) (fma.f64 (neg.f64 (cbrt.f64 (neg.f64 x))) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (neg.f64 x)) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)))))
(+.f64 (-.f64 (+.f64 eps x) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)))) (*.f64 #s(literal 0 binary64) (*.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 (neg.f64 x)))))
(-.f64 (+.f64 eps x) (neg.f64 x))
(fma.f64 #s(literal 2 binary64) x eps)
(-.f64 (exp.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x))))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1 binary64) (+.f64 eps (-.f64 x (neg.f64 x))))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(*.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 (+.f64 eps x) (neg.f64 x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (+.f64 eps (*.f64 x #s(literal 0 binary64))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 3 binary64)) (pow.f64 (neg.f64 x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (+.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (+.f64 eps x) (neg.f64 x)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (+.f64 eps x) #s(literal 3 binary64))) (+.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (fma.f64 (+.f64 eps x) (neg.f64 x) (pow.f64 x #s(literal 2 binary64)))))
(pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 1 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (cbrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(pow.f64 (sqrt.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 2 binary64))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (exp.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x))))))
(fma.f64 #s(literal 2 binary64) x eps)
(cbrt.f64 (pow.f64 (+.f64 eps (-.f64 x (neg.f64 x))) #s(literal 3 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(expm1.f64 (log1p.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal 2 binary64) x eps)))
(log1p.f64 (expm1.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))))
(fma.f64 #s(literal 2 binary64) x eps)
(exp.f64 (*.f64 (log.f64 (+.f64 eps (-.f64 x (neg.f64 x)))) #s(literal 1 binary64)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps (-.f64 x (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 #s(literal 1 binary64) (+.f64 eps x) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps x)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) (-.f64 x (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x)) (neg.f64 (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (-.f64 x (neg.f64 x)))
(fma.f64 #s(literal 2 binary64) x eps)

eval341.0ms (2.3%)

Compiler

Compiled 16212 to 8745 computations (46.1% saved)

prune138.0ms (0.9%)

Pruning

19 alts after pruning (9 fresh and 10 done)

PrunedKeptTotal
New6635668
Fresh145
Picked235
Done077
Total66619685
Accuracy
100.0%
Counts
685 → 19
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓63.9%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
97.5%
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
100.0%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))
✓99.7%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
99.6%
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x))))))
98.6%
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
99.4%
(*.f64 (+.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 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.2%
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
38.1%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓64.0%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
✓99.9%
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
✓99.4%
(*.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)))))))
✓99.2%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
98.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
✓98.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
98.4%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
✓98.7%
(*.f64 eps (cos.f64 x))
✓98.0%
(sin.f64 eps)
✓98.0%
eps
Compiler

Compiled 703 to 432 computations (38.5% saved)

regimes26.0ms (0.2%)

Counts
26 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x 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 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 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 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) (-.f64 eps x))) (-.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 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (+.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 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))
Calls

3 calls:

9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
8.0ms
eps
7.0ms
x
Results
AccuracySegmentsBranch
100.0%1x
100.0%1eps
100.0%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes24.0ms (0.2%)

Counts
25 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x 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 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (*.f64 (+.f64 eps x) (+.f64 eps x)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 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 (*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 eps x) (-.f64 eps x))) (-.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 (*.f64 (sin.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (+.f64 eps x) #s(literal 2 binary64)) (*.f64 (neg.f64 x) (neg.f64 x))) (-.f64 (+.f64 eps x) (neg.f64 x))) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(*.f64 (*.f64 (sin.f64 (*.f64 (pow.f64 (sqrt.f64 (-.f64 eps #s(literal 0 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 (+.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 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) #s(literal 3 binary64)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 x))))))
Outputs
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
Calls

3 calls:

8.0ms
eps
8.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
x
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
x
4.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
eps
Results
AccuracySegmentsBranch
99.2%1x
99.2%1eps
99.2%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

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

3 calls:

4.0ms
eps
3.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
98.7%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes12.0ms (0.1%)

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

2 calls:

8.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
98.7%1x
98.7%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

2.0ms
eps
2.0ms
x
Results
AccuracySegmentsBranch
98.6%1x
98.6%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

2.0ms
x
2.0ms
eps
Results
AccuracySegmentsBranch
98.6%1eps
98.6%1x
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes3.0ms (0%)

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

2 calls:

2.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.4%1x
98.4%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -0.0b remaining (-3%)

Threshold costs -0b (-3%)

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

2 calls:

2.0ms
eps
1.0ms
x
Results
AccuracySegmentsBranch
98.0%1x
98.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
41×*-commutative
29×unsub-neg
29×neg-mul-1
22×+-commutative
13×distribute-lft-neg-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
059390
1113390
2142386
3173386
4219386
5287386
6300386
7302386
Stop Event
1×saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
eps
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (neg.f64 (+.f64 (cos.f64 eps) #s(literal 1 binary64))))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) #s(literal 2 binary64)) (-.f64 #s(literal -1 binary64) (cos.f64 eps)))))
(*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 x #s(literal -2 binary64))))) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (-.f64 (*.f64 (*.f64 eps x) #s(literal 1/12 binary64)) #s(literal 1/2 binary64)))))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x))) eps))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x #s(literal -1/2 binary64)))))
eps

soundness722.0ms (4.8%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
835×fma-define
461×fma-define
409×log1p-expm1-u
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039343
1684319
03919164
18778900
224728504
369978504
0112926787
1275425557
2792625553
01247
116047
2246047
047570
1859552
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 710 to 342 computations (51.8% saved)

preprocess97.0ms (0.6%)

Compiler

Compiled 248 to 158 computations (36.3% saved)

end0.0ms (0%)

Profiling

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