2sin (example 3.3)

Time bar (total: 14.2s)

analyze58.0ms (0.4%)

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

Compiled 28 to 18 computations (35.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 36.0ms
...c/correct-round.rkt:119:19: 10.0ms (28% of total)
ival-sin: 8.0ms (22.4% of total)
ival-mult: 3.0ms (8.4% of total)
ival-fabs: 3.0ms (8.4% of total)
ival-<=: 3.0ms (8.4% of total)
ival-<: 3.0ms (8.4% of total)
ival-add: 2.0ms (5.6% of total)
ival-sub: 2.0ms (5.6% of total)
ival-and: 1.0ms (2.8% of total)
const: 0.0ms (0% of total)
backward-pass: 0.0ms (0% of total)

sample8.2s (57.4%)

Results
4.6s26085×0precondition
1.1s4438×1valid
574.0ms3818×0valid
Precisions
Click to see histograms. Total time spent on operations: 4.6s
...c/correct-round.rkt:119:19: 1.4s (29.4% of total)
ival-sin: 841.0ms (18.3% of total)
ival-<: 506.0ms (11% of total)
ival-add: 415.0ms (9% of total)
ival-<=: 365.0ms (7.9% of total)
ival-mult: 364.0ms (7.9% of total)
ival-fabs: 275.0ms (6% of total)
ival-sub: 204.0ms (4.4% of total)
ival-and: 127.0ms (2.8% of total)
backward-pass: 98.0ms (2.1% of total)
const: 47.0ms (1% of total)
Bogosity

preprocess127.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

explain90.0ms (0.6%)

FPErrors
Click to see full error table
Ground TruthOverpredictionsExampleUnderpredictionsExampleSubexpression
2302(-2.461041451202168e-64 1.4957898183869436e-66)4(-1.5996454377027975e-103 2.6760319548287382e-105)(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20-0-(sin.f64 (+.f64 x eps))
00-0-x
00-0-(sin.f64 x)
00-0-(+.f64 x eps)
00-0-eps
Results
39.0ms264×1valid
19.0ms248×0valid
Compiler

Compiled 51 to 20 computations (60.8% saved)

Precisions
Click to see histograms. Total time spent on operations: 24.0ms
ival-sin: 11.0ms (45.1% of total)
ival-add: 5.0ms (20.5% of total)
ival-sub: 4.0ms (16.4% of total)
backward-pass: 4.0ms (16.4% of total)
const: 0.0ms (0% of total)

eval0.0ms (0%)

Compiler

Compiled 2 to 2 computations (0% saved)

prune1.0ms (0%)

Alt Table
Click to see full alt table
StatusAccuracyProgram
▶62.5%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify15.0ms (0.1%)

Algorithm
1×egg-herbie
Localize:

Found 4 expressions of interest:

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01276
11576
22076
32876
43776
55476
69276
713276
818076
921576
1024176
1124376
Stop Event
1×saturated
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 (+.f64 x eps))
(+.f64 x eps)
x
eps
(sin.f64 x)

localize40.0ms (0.3%)

Localize:

Found 4 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 x eps)
✓accuracy100.0%
(sin.f64 x)
✓accuracy99.9%
(sin.f64 (+.f64 x eps))
✓accuracy62.6%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
18.0ms132×1valid
13.0ms124×0valid
Compiler

Compiled 21 to 7 computations (66.7% saved)

Precisions
Click to see histograms. Total time spent on operations: 12.0ms
ival-sin: 5.0ms (41.1% of total)
ival-add: 2.0ms (16.5% of total)
ival-sub: 2.0ms (16.5% of total)
backward-pass: 2.0ms (16.5% of total)
const: 0.0ms (0% of total)

series12.0ms (0.1%)

Counts
4 → 76
Calls
Call 1
Inputs
#<alt (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))>
#<alt (sin.f64 (+.f64 x eps))>
#<alt (+.f64 x eps)>
#<alt (sin.f64 x)>
Outputs
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))>
#<alt (sin.f64 eps)>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))>
#<alt (+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))>
#<alt (sin.f64 x)>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))>
#<alt (+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (+.f64 eps x))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
Calls

21 calls:

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

rewrite244.0ms (1.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify180.0ms (1.3%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
054210705
1121910322
235769977
Stop Event
1×node limit
Counts
294 → 317
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))))
(+.f64 (sin.f64 x) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
(sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps)))
eps
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
x
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
(*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))
x
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))
x
(+.f64 eps x)
(+.f64 eps x)
(+.f64 eps x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) #s(literal 1 binary64) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 #s(literal 0 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) #s(literal 1 binary64))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) #s(literal 1/2 binary64))) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) #s(literal 1/2 binary64)))) #s(literal 2 binary64))
(*.f64 #s(literal 1 binary64) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
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(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (sin.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (cos.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps))) (sin.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 3 binary64)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 3 binary64))) (fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) #s(literal 1 binary64)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) #s(literal 1 binary64) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 x eps)) (/.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 x eps)))
(*.f64 (+.f64 x eps) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (+.f64 x eps))
(*.f64 (cbrt.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 2 binary64)) (cbrt.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)))
(*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 x eps)))
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x eps) (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps (-.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 x eps))))
(/.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64))) (-.f64 x eps))
(/.f64 (neg.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64)))) (neg.f64 (fma.f64 eps (-.f64 eps x) (pow.f64 x #s(literal 2 binary64)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 x #s(literal 2 binary64)) (pow.f64 eps #s(literal 2 binary64)))) (neg.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 eps #s(literal 2 binary64)) (pow.f64 x #s(literal 2 binary64))) (-.f64 eps x))
(pow.f64 (+.f64 x eps) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (+.f64 x eps)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (+.f64 x eps)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (+.f64 x eps) #s(literal 2 binary64)))
(log.f64 (exp.f64 (+.f64 x eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (+.f64 x eps))))
(log.f64 (*.f64 (exp.f64 x) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (exp.f64 eps)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 x)) (+.f64 #s(literal 1 binary64) (expm1.f64 eps))))
(log.f64 (*.f64 (exp.f64 eps) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (exp.f64 x)))
(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(exp.f64 (log.f64 (+.f64 x eps)))
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(fma.f64 x #s(literal 1 binary64) eps)
(fma.f64 eps #s(literal 1 binary64) x)
(fma.f64 #s(literal 1 binary64) x eps)
(fma.f64 #s(literal 1 binary64) eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
Outputs
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) #s(literal -1 binary64))) (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x #s(literal -1/2 binary64)) #s(literal -1 binary64))) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 #s(literal -1/6 binary64) (cos.f64 eps))))))) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (-.f64 (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 x (+.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 eps) #s(literal -1/6 binary64)))))) #s(literal 1 binary64)))))
(fma.f64 x (+.f64 (cos.f64 eps) (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 x (fma.f64 (cos.f64 eps) #s(literal -1/6 binary64) #s(literal 1/6 binary64)))) #s(literal -1 binary64))) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (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 (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) #s(literal 1/24 binary64))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 (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 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (-.f64 x (*.f64 #s(literal -1 binary64) eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (cos.f64 eps)))
(fma.f64 x (cos.f64 eps) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 (*.f64 #s(literal -1/2 binary64) x) (sin.f64 eps)))))
(fma.f64 x (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 eps) x) (cos.f64 eps)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 eps)) (*.f64 #s(literal -1/6 binary64) (*.f64 x (cos.f64 eps))))))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) (*.f64 x (fma.f64 #s(literal -1/2 binary64) (sin.f64 eps) (*.f64 (*.f64 #s(literal -1/6 binary64) x) (cos.f64 eps)))))))
(fma.f64 x (fma.f64 x (fma.f64 (sin.f64 eps) #s(literal -1/2 binary64) (*.f64 (cos.f64 eps) (*.f64 x #s(literal -1/6 binary64)))) (cos.f64 eps)) (sin.f64 eps))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 #s(literal -1 binary64) x)))
(sin.f64 (+.f64 eps x))
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(log.f64 (*.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)) (+.f64 #s(literal 1 binary64) (expm1.f64 x))))
(+.f64 eps x)
(cbrt.f64 (pow.f64 (+.f64 x eps) #s(literal 3 binary64)))
(+.f64 eps x)
(expm1.f64 (log1p.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (log.f64 (+.f64 x eps)))
(+.f64 eps x)
(exp.f64 (*.f64 (log.f64 (+.f64 x eps)) #s(literal 1 binary64)))
(+.f64 eps x)
(fma.f64 x #s(literal 1 binary64) eps)
(+.f64 eps x)
(fma.f64 eps #s(literal 1 binary64) x)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) x eps)
(+.f64 eps x)
(fma.f64 #s(literal 1 binary64) eps x)
(+.f64 eps x)
(fma.f64 (cbrt.f64 x) (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) eps)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 x) #s(literal 2 binary64)) (cbrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) x)
(+.f64 eps x)
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) x)
(+.f64 eps x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) eps)
(+.f64 eps x)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) x)
(+.f64 eps x)
(+.f64 #s(literal 0 binary64) (sin.f64 x))
(sin.f64 x)
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (sin.f64 x))) (cbrt.f64 (exp.f64 (sin.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(*.f64 #s(literal 2 binary64) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (cos.f64 #s(literal 1 binary64))) (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (sin.f64 #s(literal 1 binary64))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (exp.f64 (log1p.f64 x)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (exp.f64 (log1p.f64 x)))))
(-.f64 (*.f64 (cos.f64 #s(literal 1 binary64)) (sin.f64 (+.f64 x #s(literal 1 binary64)))) (*.f64 (sin.f64 #s(literal 1 binary64)) (cos.f64 (+.f64 x #s(literal 1 binary64)))))
(*.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(*.f64 #s(literal 1 binary64) (sin.f64 x))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) #s(literal 1 binary64))
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) #s(literal 3 binary64))
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) #s(literal 2 binary64))
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)))
(sin.f64 x)
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (*.f64 (log.f64 (sin.f64 x)) #s(literal 1 binary64)))
(sin.f64 x)

eval49.0ms (0.3%)

Compiler

Compiled 5287 to 1001 computations (81.1% saved)

prune45.0ms (0.3%)

Pruning

7 alts after pruning (6 fresh and 1 done)

PrunedKeptTotal
New3116317
Fresh000
Picked011
Done000
Total3117318
Accuracy
100.0%
Counts
318 → 7
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.5%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶62.0%
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
99.9%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
▶100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
▶99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
▶99.4%
(*.f64 eps (cos.f64 x))
▶98.0%
(sin.f64 eps)
Compiler

Compiled 157 to 108 computations (31.2% saved)

simplify136.0ms (1%)

Algorithm
1×egg-herbie
Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
✓cost-diff256
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
✓cost-diff256
(sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
✓cost-diff256
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 eps (sin.f64 x))
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(cos.f64 x)
✓cost-diff0
(*.f64 eps (cos.f64 x))
✓cost-diff0
(sin.f64 eps)
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
✓cost-diff0
(cos.f64 x)
Rules
930×fma-define
699×fma-neg
449×associate-*r/
436×cube-prod
404×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
030639
178623
2182620
3421578
4666578
5869578
61097578
71596578
83231578
93668578
104357578
115015578
126265578
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
(sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
eps
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
#s(literal 1 binary64)
(/.f64 x eps)
x
(sin.f64 x)
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))))
(fma.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64))))
(fma.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
#s(literal -1/2 binary64)
(sin.f64 x)
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(*.f64 eps (*.f64 (cos.f64 x) #s(literal -1/6 binary64)))
#s(literal -1/6 binary64)
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
eps
(*.f64 eps (cos.f64 x))
eps
(cos.f64 x)
x
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) (sin.f64 x) (cos.f64 x))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x))
(fma.f64 (sin.f64 x) (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
#s(literal -1/2 binary64)
(*.f64 eps (sin.f64 x))
(sin.f64 x)
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (fma.f64 eps (/.f64 x eps) eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(sin.f64 (fma.f64 eps (/.f64 x eps) eps))
(sin.f64 (+.f64 eps x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(fma.f64 eps (/.f64 x eps) eps)
(+.f64 eps x)
eps
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
#s(literal 1 binary64)
(/.f64 x eps)
x
(sin.f64 x)

localize185.0ms (1.3%)

Localize:

Found 15 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
✓accuracy99.9%
(sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
✓accuracy99.6%
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
✓accuracy62.6%
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓accuracy100.0%
(*.f64 eps (sin.f64 x))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
✓accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy100.0%
(sin.f64 eps)
✓accuracy100.0%
(*.f64 eps (cos.f64 x))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
✓accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
Results
82.0ms136×1valid
46.0ms119×0valid
5.0ms1×5exit
Compiler

Compiled 170 to 25 computations (85.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 69.0ms
ival-mult: 24.0ms (35% of total)
backward-pass: 11.0ms (16.1% of total)
ival-sin: 10.0ms (14.6% of total)
ival-add: 7.0ms (10.2% of total)
...c/correct-round.rkt:119:19: 6.0ms (8.8% of total)
ival-cos: 4.0ms (5.8% of total)
ival-div: 3.0ms (4.4% of total)
ival-sub: 2.0ms (2.9% of total)
const: 1.0ms (1.5% of total)

series47.0ms (0.3%)

Counts
14 → 127
Calls
Call 1
Inputs
#<alt (cos.f64 x)>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (sin.f64 eps)>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 eps (sin.f64 x))>
#<alt (-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))>
#<alt (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))>
#<alt (+.f64 #s(literal 1 binary64) (/.f64 x eps))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
Outputs
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))>
#<alt (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))>
#<alt (*.f64 eps x)>
#<alt (*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))>
#<alt (*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))>
#<alt (*.f64 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 (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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))>
#<alt (-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 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 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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps)))))>
#<alt x>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt eps>
#<alt eps>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1 binary64))))>
#<alt eps>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt (+.f64 eps x)>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (/.f64 eps x)))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt #s(literal 1 binary64)>
#<alt (/.f64 x eps)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 x eps)>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (/.f64 x eps)>
#<alt (/.f64 (+.f64 eps x) eps)>
#<alt (/.f64 (+.f64 eps x) eps)>
#<alt (/.f64 (+.f64 eps x) eps)>
#<alt #s(literal 1 binary64)>
#<alt #s(literal 1 binary64)>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (cos.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) (*.f64 #s(literal 1/12 binary64) (pow.f64 eps #s(literal 2 binary64))))))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (sin.f64 x))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (sin.f64 x) eps)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))))>
#<alt (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal 1/6 binary64) (cos.f64 x)) (*.f64 #s(literal 1/2 binary64) (/.f64 (sin.f64 x) eps)))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 #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)))))))>
Calls

75 calls:

TimeVariablePointExpression
5.0ms
x
@inf
(* eps (+ (cos x) (* -1/2 (* eps (sin x)))))
3.0ms
x
@inf
(* eps (+ (* -1/2 (sin x)) (* -1/6 (* eps (cos x)))))
2.0ms
eps
@0
(* -1/2 (* eps (sin x)))
1.0ms
eps
@0
(* -1/6 (* eps (cos x)))
1.0ms
x
@-inf
(* -1/2 (sin x))

rewrite265.0ms (1.9%)

Algorithm
1×batch-egg-rewrite
Rules
725×log1p-expm1-u
243×associate-*r*
224×expm1-log1p-u
221×add-cube-cbrt
219×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
028364
1468360
27182360
Stop Event
1×node limit
Counts
14 → 324
Calls
Call 1
Inputs
(cos.f64 x)
(*.f64 #s(literal -1/2 binary64) (sin.f64 x))
(*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
(sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))
(+.f64 #s(literal 1 binary64) (/.f64 x eps))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))
(+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
Outputs
(-.f64 (exp.f64 (log1p.f64 (cos.f64 x))) #s(literal 1 binary64))
(*.f64 (cos.f64 x) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))
(pow.f64 (cos.f64 x) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 x)) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 x)) #s(literal 2 binary64))
(pow.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 x))))
(cbrt.f64 (pow.f64 (cos.f64 x) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (cos.f64 x)))
(exp.f64 (log.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/36 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal -1/6 binary64)) (*.f64 (cos.f64 x) eps)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) #s(literal 3 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 3 binary64)) #s(literal -1/8 binary64)))) (neg.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) (-.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/36 binary64)))) (neg.f64 (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 1/6 binary64) (*.f64 (cos.f64 x) eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/36 binary64)) (*.f64 (pow.f64 (sin.f64 x) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (-.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))))))
(cbrt.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))))
(log1p.f64 (expm1.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))))
(exp.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))) #s(literal 1 binary64)))
(fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 (sin.f64 x) #s(literal -1/2 binary64) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 #s(literal -1/6 binary64) (*.f64 (cos.f64 x) eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) eps) #s(literal -1/6 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (sqrt.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 #s(literal -1/6 binary64) eps)))
(fma.f64 (*.f64 #s(literal -1/6 binary64) eps) (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))) #s(literal 1 binary64))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))) (*.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))) (-.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))))
(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) eps) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))

simplify275.0ms (1.9%)

Algorithm
1×egg-herbie
Rules
834×fma-neg
701×associate-*r*
674×fma-define
587×associate-*l*
302×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
092819196
1223217978
2779517974
Stop Event
1×node limit
Counts
451 → 585
Calls
Call 1
Inputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 eps x)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/120 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))
(*.f64 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/5040 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/120 binary64) eps)))))))
(*.f64 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)))))))))
(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 (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))
(-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))
(-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 x))
(-.f64 (sin.f64 (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 #s(literal -1 binary64) (/.f64 x eps))))) (sin.f64 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 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))))))
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x
(+.f64 eps x)
(+.f64 eps x)
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eps
eps
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(+.f64 eps x)
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x
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(/.f64 (*.f64 eps (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64)))) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) #s(literal 3 binary64)) (pow.f64 (cos.f64 x) #s(literal 3 binary64))) eps) (+.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps)) (cos.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) eps) #s(literal 2 binary64)) #s(literal 1/4 binary64))) eps) (+.f64 (cos.f64 x) (*.f64 #s(literal 1/2 binary64) (*.f64 (sin.f64 x) eps))))
(pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
Outputs
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/24 binary64) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64))))
(+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64))) #s(literal -1/2 binary64))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/720 binary64) #s(literal 1/24 binary64)) #s(literal -1/2 binary64)) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/12 binary64) #s(literal -1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 #s(literal -1/240 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64))) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(*.f64 x (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/240 binary64))))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/10080 binary64) (pow.f64 x #s(literal 2 binary64)) #s(literal -1/240 binary64)))) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/10080 binary64) #s(literal -1/240 binary64)) #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/6 binary64) eps)
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 #s(literal 1/12 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/6 binary64) eps))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/144 binary64)))) (*.f64 #s(literal -1/6 binary64) eps))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/144 binary64) eps) (*.f64 #s(literal 1/4320 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/144 binary64) eps (*.f64 (*.f64 #s(literal 1/4320 binary64) eps) (pow.f64 x #s(literal 2 binary64))))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal -1/144 binary64) (*.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) #s(literal 1/4320 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal -1/6 binary64) eps))
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(+.f64 eps (*.f64 #s(literal -1/6 binary64) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal 1/120 binary64) (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/6 binary64)))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/120 binary64) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 #s(literal -1/5040 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/6 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/120 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64))) #s(literal -1/6 binary64)))))
(+.f64 eps (*.f64 (fma.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/5040 binary64) #s(literal 1/120 binary64)) #s(literal -1/6 binary64)) (pow.f64 eps #s(literal 3 binary64))))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 #s(literal 1/24 binary64) eps) (pow.f64 x #s(literal 2 binary64))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/720 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/24 binary64) eps))))))
(+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/720 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/24 binary64) eps))))))
(fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/24 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 #s(literal -1/720 binary64) eps))) (*.f64 #s(literal -1/2 binary64) eps)) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
(*.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 (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (*.f64 #s(literal 1/12 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps)))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/240 binary64) eps) (*.f64 #s(literal 1/10080 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))))))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/12 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/240 binary64) eps (*.f64 (*.f64 #s(literal 1/10080 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal 1/10080 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 #s(literal -1/240 binary64) eps)) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal -1/2 binary64) eps)))
(*.f64 eps x)
(*.f64 x eps)
(*.f64 x (+.f64 eps (*.f64 #s(literal -1/6 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))))
(*.f64 x (+.f64 eps (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (pow.f64 x #s(literal 2 binary64)))))
(fma.f64 x eps (*.f64 (*.f64 #s(literal -1/6 binary64) eps) (pow.f64 x #s(literal 3 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)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (*.f64 eps #s(literal 1/120 binary64)) (pow.f64 x #s(literal 2 binary64)))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal 1/120 binary64)))) eps))
(*.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 x (+.f64 eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/6 binary64) eps (*.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 #s(literal -1/5040 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) eps) (*.f64 eps #s(literal 1/120 binary64))))))))
(*.f64 x (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 (pow.f64 x #s(literal 2 binary64)) (fma.f64 eps #s(literal 1/120 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (*.f64 eps #s(literal -1/5040 binary64)))) (*.f64 #s(literal -1/6 binary64) eps)) 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 #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 (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (sin.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) (cos.f64 x) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)))))))))
(*.f64 eps (fma.f64 eps (fma.f64 eps (fma.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (cos.f64 x))) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(sin.f64 eps)
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (cos.f64 eps) #s(literal 1 binary64))))
(+.f64 (sin.f64 eps) (*.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64))))
(fma.f64 x (+.f64 (cos.f64 eps) #s(literal -1 binary64)) (sin.f64 eps))
(+.f64 (sin.f64 eps) (*.f64 x (-.f64 (+.f64 (cos.f64 eps) (*.f64 #s(literal -1/2 binary64) (*.f64 x (sin.f64 eps)))) #s(literal 1 binary64))))
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(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 3 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 2 binary64))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 2 binary64)))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 eps) (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x))) #s(literal 3 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 eps #s(literal 3 binary64))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(expm1.f64 (log1p.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) eps) (cos.f64 x)))) #s(literal 1 binary64)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))

eval120.0ms (0.8%)

Compiler

Compiled 15610 to 3194 computations (79.5% saved)

prune123.0ms (0.9%)

Pruning

14 alts after pruning (9 fresh and 5 done)

PrunedKeptTotal
New7908798
Fresh011
Picked145
Done011
Total79114805
Accuracy
100.0%
Counts
805 → 14
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.5%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.7%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
98.9%
(+.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)))))))
98.9%
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #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 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
▶99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
▶99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
✓99.4%
(*.f64 eps (cos.f64 x))
✓98.0%
(sin.f64 eps)
▶98.0%
eps
Compiler

Compiled 336 to 227 computations (32.4% saved)

simplify152.0ms (1.1%)

Algorithm
1×egg-herbie
Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
cost-diff0
(sin.f64 x)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff0
(*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))
✓cost-diff0
(*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
✓cost-diff0
(*.f64 eps x)
✓cost-diff0
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓cost-diff0
(*.f64 #s(literal -1/6 binary64) eps)
cost-diff0
(cos.f64 x)
✓cost-diff-6272
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
✓cost-diff0
(*.f64 x eps)
✓cost-diff0
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
cost-diff0
(cos.f64 x)
✓cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
✓cost-diff128
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓cost-diff128
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
✓cost-diff256
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
Rules
973×fma-define
676×distribute-lft-in
542×distribute-rgt-in
479×sub-neg
464×associate-+l-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
043787
197766
2318762
3919744
41678744
52982744
64036744
74078744
84195744
94738744
105868744
117565744
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
#s(literal -1/2 binary64)
(*.f64 x eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
#s(literal 1/12 binary64)
(*.f64 eps x)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))
eps
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(sin.f64 x)
x
(*.f64 (cos.f64 x) eps)
(cos.f64 x)
Outputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(fma.f64 #s(literal 1/2 binary64) eps x)
#s(literal 1/2 binary64)
(fma.f64 #s(literal 2 binary64) x eps)
#s(literal 2 binary64)
x
eps
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
eps
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 eps (fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) (cos.f64 x)))
(*.f64 eps (fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x eps) (cos.f64 x))
(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (cos.f64 x))
(cos.f64 x)
x
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
#s(literal -1/2 binary64)
(*.f64 x eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))))
(fma.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))
(fma.f64 #s(literal 1/12 binary64) (*.f64 x eps) #s(literal -1/2 binary64))
(fma.f64 x (*.f64 eps #s(literal 1/12 binary64)) #s(literal -1/2 binary64))
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 #s(literal 1/12 binary64) (*.f64 x eps))
(*.f64 x (*.f64 eps #s(literal 1/12 binary64)))
#s(literal 1/12 binary64)
(*.f64 eps x)
(*.f64 x eps)
#s(literal 1/2 binary64)
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (cos.f64 x)))
(*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(*.f64 (*.f64 eps (*.f64 eps #s(literal -1/2 binary64))) (sin.f64 x))
(*.f64 eps (*.f64 eps (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(*.f64 (*.f64 eps eps) (*.f64 #s(literal -1/2 binary64) (sin.f64 x)))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 eps (*.f64 eps #s(literal -1/2 binary64)))
eps
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(sin.f64 x)
x
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(cos.f64 x)

localize167.0ms (1.2%)

Localize:

Found 16 expressions of interest:

NewMetricScoreProgram
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(*.f64 (cos.f64 x) eps)
✓accuracy100.0%
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
✓accuracy99.9%
(*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
✓accuracy99.8%
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
✓accuracy99.7%
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
✓accuracy99.5%
(*.f64 #s(literal -1/6 binary64) eps)
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))
✓accuracy100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
✓accuracy100.0%
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
✓accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
Results
109.0ms255×0valid
1.0ms1×3valid
Compiler

Compiled 235 to 37 computations (84.3% saved)

Precisions
Click to see histograms. Total time spent on operations: 62.0ms
ival-mult: 35.0ms (56.7% of total)
...c/correct-round.rkt:119:19: 7.0ms (11.3% of total)
ival-add: 6.0ms (9.7% of total)
ival-cos: 4.0ms (6.5% of total)
ival-fma: 4.0ms (6.5% of total)
ival-sin: 4.0ms (6.5% of total)
const: 1.0ms (1.6% of total)
ival-sub: 1.0ms (1.6% of total)
backward-pass: 0.0ms (0% of total)

series84.0ms (0.6%)

Counts
19 → 322
Calls
Call 1
Inputs
#<alt (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))>
#<alt (*.f64 x eps)>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))>
#<alt (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))>
#<alt (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))>
#<alt (+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))>
#<alt (*.f64 (cos.f64 x) eps)>
Outputs
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))>
#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt x>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt (*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))>
#<alt x>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 eps x)) #s(literal 1 binary64))))>
#<alt x>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 eps (+.f64 #s(literal 1/2 binary64) (/.f64 x eps)))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 x eps)) #s(literal 1/2 binary64))))>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/24 binary64) (pow.f64 eps #s(literal 2 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/1920 binary64) (pow.f64 eps #s(literal 2 binary64))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 1/1920 binary64) (*.f64 #s(literal -1/322560 binary64) (pow.f64 eps #s(literal 2 binary64))))) #s(literal 1/24 binary64)))))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
#<alt (*.f64 eps x)>
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#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/6 binary64) (+.f64 (*.f64 #s(literal -1/12 binary64) (pow.f64 x #s(literal 2 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 x eps))))))>
#<alt (*.f64 #s(literal -1/6 binary64) eps)>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (+.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 eps (pow.f64 x #s(literal 2 binary64)))) (*.f64 #s(literal 1/12 binary64) eps)) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal 1/12 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 binary64) eps)))>
#<alt (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/6 binary64) (/.f64 eps x))) x)) (*.f64 #s(literal 1/12 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 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (/.f64 (cos.f64 x) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/12 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))))))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))>
#<alt 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 (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (cos.f64 x))>
Calls

99 calls:

TimeVariablePointExpression
36.0ms
x
@inf
(* (* eps (* -1/2 eps)) (sin x))
1.0ms
x
@inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
eps
@0
(* eps (+ (* -1/6 eps) (* x (- (* 1/12 (* eps x)) 1/2))))
1.0ms
x
@0
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))
1.0ms
eps
@-inf
(* (cos (* 1/2 (+ (* 2 x) eps))) (* 2 (sin (* (+ eps 0) 1/2))))

rewrite167.0ms (1.2%)

Algorithm
1×batch-egg-rewrite
Rules
355×associate-*r*
285×log1p-expm1-u
285×expm1-log1p-u
281×add-cube-cbrt
279×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
041496
1652477
Stop Event
1×node limit
Counts
19 → 421
Calls
Call 1
Inputs
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))
(*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/2 binary64) (*.f64 x eps))
(*.f64 x eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 #s(literal 1/12 binary64) (*.f64 eps x))
(*.f64 eps x)
(*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x))
(*.f64 eps (*.f64 #s(literal -1/2 binary64) eps))
(*.f64 #s(literal -1/2 binary64) eps)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 x) eps)
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) #s(literal 1 binary64))
(pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64))))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))) #s(literal 1 binary64))
(*.f64 #s(literal 1 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64)) (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) x)) (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (*.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 1/2 binary64)) (*.f64 #s(literal 1/2 binary64) eps))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 #s(literal 2 binary64) x eps) #s(literal 2 binary64)) #s(literal 1/4 binary64)))
(log.f64 (pow.f64 (exp.f64 (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))) #s(literal 1 binary64))
(pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 2 binary64))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) #s(literal 4 binary64)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))
(cbrt.f64 (pow.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(log1p.f64 (expm1.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) #s(literal 1 binary64)))
(+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x) (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) x)) (*.f64 #s(literal 0 binary64) (*.f64 #s(literal -1/2 binary64) x)))
(+.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) x) #s(literal 0 binary64)) (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) x))) #s(literal 1 binary64))
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(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))
(pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)))

simplify378.0ms (2.7%)

Algorithm
1×egg-herbie
Rules
846×fma-define
461×fma-neg
324×distribute-rgt-in
313×distribute-lft-in
258×*-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0114529311
1299827919
2724027907
Stop Event
1×node limit
Counts
743 → 763
Calls
Call 1
Inputs
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 #s(literal 1/24 binary64) (*.f64 eps (sin.f64 x))) (*.f64 #s(literal 2 binary64) (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x))))))))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 #s(literal -1 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 x (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (cos.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 #s(literal 1/6 binary64) (*.f64 x (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 eps (*.f64 #s(literal -2 binary64) x))))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 eps (cos.f64 x))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 eps (+.f64 (*.f64 #s(literal -1/8 binary64) (cos.f64 x)) (*.f64 #s(literal 1/48 binary64) (*.f64 eps (sin.f64 x))))) (*.f64 #s(literal 1/2 binary64) (sin.f64 x)))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(cos.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
(+.f64 x (*.f64 #s(literal 1/2 binary64) eps))
x
(*.f64 x (+.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 eps x))))
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(*.f64 #s(literal 1 binary64) (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))))))
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))))
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64))) (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))) (neg.f64 (*.f64 eps (-.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) #s(literal 2 binary64))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))))
(pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 2 binary64)))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (cos.f64 x)))) #s(literal 1 binary64)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 eps (*.f64 (*.f64 #s(literal 1/2 binary64) eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 (sin.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(+.f64 (*.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal -2 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal -2 binary64) x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 #s(literal -1 binary64) (*.f64 x (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (neg.f64 (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) x)))))
(fma.f64 x (-.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) x)) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))
(fma.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 x (fma.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)) (*.f64 x (fma.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))) (*.f64 (*.f64 #s(literal 1/3 binary64) x) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))))))))
(fma.f64 x (fma.f64 x (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) 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 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))))
(*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 eps (*.f64 #s(literal 2 binary64) x)))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 #s(literal 2 binary64) (*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps)))))
(*.f64 (*.f64 #s(literal 2 binary64) (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps 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 (fma.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal 2 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1/16 binary64) (cos.f64 x)) (*.f64 #s(literal -1/48 binary64) (cos.f64 x)))))))))
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eps
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eps
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(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (sqrt.f64 (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (*.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal -1/2 binary64)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 (sin.f64 x) (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal -1/2 binary64) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (cos.f64 x) #s(literal 0 binary64)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 #s(literal 0 binary64) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) #s(literal 0 binary64)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 #s(literal 0 binary64) (cos.f64 x)) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 1 binary64))
(*.f64 eps (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 3 binary64))
(*.f64 eps (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) #s(literal 2 binary64))
(*.f64 eps (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 eps (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) #s(literal 3 binary64)))
(*.f64 eps (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(*.f64 eps (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) #s(literal 1 binary64)))
(*.f64 eps (cos.f64 x))

eval152.0ms (1.1%)

Compiler

Compiled 18435 to 3343 computations (81.9% saved)

prune123.0ms (0.9%)

Pruning

15 alts after pruning (8 fresh and 7 done)

PrunedKeptTotal
New8776883
Fresh224
Picked235
Done145
Total88215897
Accuracy
100.0%
Counts
897 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
✓62.5%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
▶99.0%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
▶99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
99.8%
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
▶99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
✓99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
✓99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
99.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
▶98.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
▶99.2%
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
✓99.4%
(*.f64 eps (cos.f64 x))
✓98.0%
eps
Compiler

Compiled 335 to 231 computations (31% saved)

simplify82.0ms (0.6%)

Algorithm
1×egg-herbie
Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓cost-diff0
(pow.f64 eps #s(literal 2 binary64))
✓cost-diff0
(*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓cost-diff384
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
✓cost-diff6464
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))
cost-diff0
(*.f64 #s(literal -1/6 binary64) eps)
cost-diff0
(cos.f64 x)
✓cost-diff128
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
✓cost-diff128
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
✓cost-diff-6144
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
cost-diff0
(cos.f64 x)
✓cost-diff0
(/.f64 (cos.f64 x) x)
cost-diff0
(*.f64 #s(literal -1/2 binary64) eps)
✓cost-diff-6272
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓cost-diff-6272
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓cost-diff0
(*.f64 x #s(literal -1/2 binary64))
✓cost-diff0
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
✓cost-diff128
(+.f64 eps #s(literal 0 binary64))
✓cost-diff128
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
cost-diff128
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
cost-diff128
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
Rules
890×fma-define
652×unsub-neg
626×times-frac
457×distribute-lft-neg-out
447×distribute-lft-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0501015
1139999
2452993
31491966
44226966
56443966
Stop Event
1×node limit
Calls
Call 1
Inputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
#s(literal 0 binary64)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
eps
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
eps
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))
x
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal -1/2 binary64) eps)
#s(literal -1/2 binary64)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) eps)
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 eps (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(neg.f64 x)
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))
(*.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) (*.f64 (cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x)) #s(literal 2 binary64)))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(cos.f64 (fma.f64 #s(literal 1/2 binary64) eps x))
(+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)
(fma.f64 #s(literal 1/2 binary64) eps x)
(*.f64 #s(literal 1/2 binary64) eps)
#s(literal 1/2 binary64)
eps
x
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))))
(*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))
#s(literal 2 binary64)
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
(sin.f64 (*.f64 #s(literal 1/2 binary64) eps))
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(*.f64 #s(literal 1/2 binary64) eps)
(+.f64 eps #s(literal 0 binary64))
eps
#s(literal 0 binary64)
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)))
eps
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
#s(literal 1 binary64)
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
x
#s(literal -1/2 binary64)
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
(*.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))))
(*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) (*.f64 eps x))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))
eps
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x)))
(*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)))
(fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x))
x
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal -1/2 binary64) eps)
(*.f64 eps #s(literal -1/2 binary64))
#s(literal -1/2 binary64)
(/.f64 (cos.f64 x) x)
(cos.f64 x)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))))
(*.f64 eps (fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x)))
(*.f64 eps (fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x)))
eps
(+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))))
(+.f64 (cos.f64 x) (*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))))
(fma.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))) (cos.f64 x))
(fma.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))) (cos.f64 x))
(cos.f64 x)
x
(*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))
(*.f64 eps (fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))
(*.f64 eps (fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64))))
(*.f64 eps (fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))))
(+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))))
(fma.f64 #s(literal -1/6 binary64) eps (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))
(fma.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)) (*.f64 eps #s(literal -1/6 binary64)))
(fma.f64 eps #s(literal -1/6 binary64) (*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))))
(*.f64 #s(literal -1/6 binary64) eps)
(*.f64 eps #s(literal -1/6 binary64))
#s(literal -1/6 binary64)
(*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))
(*.f64 x (fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64)))
(-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64))
(fma.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)) #s(literal -1/2 binary64))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(*.f64 x (*.f64 #s(literal 1/12 binary64) (+.f64 eps x)))
(*.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 eps x))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(*.f64 #s(literal 1/12 binary64) (+.f64 eps x))
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 eps #s(literal 1/12 binary64))
#s(literal 1/12 binary64)
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 x #s(literal 1/12 binary64))
#s(literal 1/2 binary64)
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 eps (*.f64 x (fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))))
(*.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) (*.f64 eps x))
(*.f64 eps (*.f64 x (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) (cos.f64 x)))
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))
(*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 (cos.f64 x) x)))
(*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
#s(literal 1/2 binary64)
(pow.f64 eps #s(literal 2 binary64))
eps
#s(literal 2 binary64)
(*.f64 eps (/.f64 (cos.f64 x) x))
(/.f64 (cos.f64 x) x)
(cos.f64 x)
x
(neg.f64 x)

localize275.0ms (1.9%)

Localize:

Found 20 expressions of interest:

NewMetricScoreProgram
✓accuracy100.0%
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
✓accuracy99.8%
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
✓accuracy99.6%
(*.f64 eps (/.f64 (cos.f64 x) x))
✓accuracy99.7%
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
✓accuracy99.5%
(*.f64 #s(literal 1/12 binary64) eps)
accuracy99.5%
(*.f64 #s(literal -1/6 binary64) eps)
✓accuracy99.4%
(*.f64 #s(literal 1/12 binary64) x)
accuracy100.0%
(cos.f64 x)
✓accuracy100.0%
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))
✓accuracy100.0%
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
✓accuracy99.7%
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))
✓accuracy100.0%
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
✓accuracy100.0%
(*.f64 x #s(literal -1/2 binary64))
✓accuracy100.0%
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
✓accuracy100.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
✓accuracy100.0%
(*.f64 #s(literal 1/2 binary64) eps)
accuracy100.0%
(sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))
✓accuracy100.0%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
✓accuracy99.9%
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
Results
199.0ms250×0valid
11.0ms5×5exit
5.0ms1×3valid
Compiler

Compiled 320 to 45 computations (85.9% saved)

Precisions
Click to see histograms. Total time spent on operations: 79.0ms
ival-mult: 43.0ms (54.1% of total)
...c/correct-round.rkt:119:19: 9.0ms (11.3% of total)
ival-add: 9.0ms (11.3% of total)
ival-cos: 4.0ms (5% of total)
ival-sub: 3.0ms (3.8% of total)
backward-pass: 3.0ms (3.8% of total)
ival-pow: 3.0ms (3.8% of total)
ival-div: 2.0ms (2.5% of total)
ival-sin: 2.0ms (2.5% of total)
const: 1.0ms (1.3% of total)
ival-neg: 1.0ms (1.3% of total)

series49.0ms (0.3%)

Counts
22 → 331
Calls
Call 1
Inputs
#<alt (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))>
#<alt (+.f64 eps #s(literal 0 binary64))>
#<alt (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))>
#<alt (*.f64 x #s(literal -1/2 binary64))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))>
#<alt (/.f64 (cos.f64 x) x)>
#<alt (*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))>
#<alt (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))>
#<alt (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))>
#<alt (*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))>
#<alt (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))>
#<alt (pow.f64 eps #s(literal 2 binary64))>
#<alt (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))>
#<alt (*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))>
#<alt (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))>
#<alt (*.f64 #s(literal 1/12 binary64) x)>
#<alt (*.f64 #s(literal 1/12 binary64) eps)>
#<alt (*.f64 eps (/.f64 (cos.f64 x) x))>
Outputs
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt (*.f64 #s(literal 1/2 binary64) eps)>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt eps>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt (*.f64 #s(literal -1/2 binary64) x)>
#<alt eps>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt #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 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))>
#<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 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (pow.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 (pow.f64 x #s(literal 2 binary64)) (+.f64 #s(literal 1/24 binary64) (*.f64 #s(literal -1/720 binary64) (pow.f64 x #s(literal 2 binary64))))) #s(literal 1/2 binary64)))) x)>
#<alt (*.f64 eps (cos.f64 x))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt eps>
#<alt (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)) (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))>
#<alt (+.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal 1/24 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))>
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#<alt (+.f64 (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 x (+.f64 (*.f64 #s(literal -2 binary64) (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64))) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) eps)) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)))) (*.f64 #s(literal 1/3 binary64) (*.f64 x (pow.f64 (sin.f64 (*.f64 #s(literal 1/2 binary64) eps)) #s(literal 2 binary64)))))))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (+.f64 x (*.f64 #s(literal 1/2 binary64) eps))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal 2 binary64) (*.f64 (cos.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (*.f64 #s(literal -1 binary64) x))) (sin.f64 (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt #s(literal 1 binary64)>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x))))>
#<alt (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64))))))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) x)) (*.f64 #s(literal 1/2 binary64) eps))))>
#<alt (cos.f64 x)>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 (cos.f64 x) eps)))>
#<alt (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) eps)) (*.f64 #s(literal 1/2 binary64) x))))>
#<alt (/.f64 (cos.f64 x) x)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 eps (-.f64 (/.f64 (cos.f64 x) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (cos.f64 x) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 eps (-.f64 (/.f64 (cos.f64 x) (*.f64 eps x)) #s(literal 1/2 binary64)))>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 eps x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 eps x))))))>
#<alt (*.f64 #s(literal -1 binary64) (*.f64 eps (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal -1 binary64) (/.f64 (cos.f64 x) (*.f64 eps x))))))>
#<alt (/.f64 #s(literal 1 binary64) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 #s(literal -1/2 binary64) x)))) x)>
#<alt (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/24 binary64) (pow.f64 x #s(literal 2 binary64))) #s(literal 1/2 binary64)))))) x)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (*.f64 #s(literal -1/2 binary64) eps)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 eps x)>
#<alt (/.f64 (+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 eps (pow.f64 x #s(literal 2 binary64))))) x)>
#<alt (/.f64 (+.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))))))) x)>
#<alt (/.f64 (+.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)))))) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
#<alt (/.f64 (*.f64 eps (cos.f64 x)) x)>
Calls

105 calls:

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

rewrite157.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
327×log1p-expm1-u
327×expm1-log1p-u
322×add-cube-cbrt
319×add-exp-log
319×add-log-exp
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042529
1737517
Stop Event
1×node limit
Counts
22 → 472
Calls
Call 1
Inputs
(*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64))
(+.f64 eps #s(literal 0 binary64))
(*.f64 eps (*.f64 x #s(literal -1/2 binary64)))
(*.f64 x #s(literal -1/2 binary64))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))
(/.f64 (cos.f64 x) x)
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
(*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x)))
(+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))
(-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x)))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
(*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))
(pow.f64 eps #s(literal 2 binary64))
(cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x)))
(+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))
(*.f64 #s(literal 1/12 binary64) x)
(*.f64 #s(literal 1/12 binary64) eps)
(*.f64 eps (/.f64 (cos.f64 x) x))
Outputs
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 #s(literal 1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/8 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/2 binary64))) #s(literal 1 binary64)))
(-.f64 eps #s(literal 0 binary64))
(-.f64 (exp.f64 (log1p.f64 eps)) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 eps #s(literal 2 binary64)) eps) (/.f64 #s(literal 0 binary64) eps))
(*.f64 #s(literal 1 binary64) eps)
(*.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 eps))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 eps #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64))))
(/.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) eps)
(/.f64 (neg.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (neg.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (neg.f64 (fma.f64 eps eps #s(literal 0 binary64))) (neg.f64 eps))
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 eps #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) eps))))
(/.f64 (-.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))))
(pow.f64 eps #s(literal 1 binary64))
(pow.f64 (pow.f64 eps #s(literal 2 binary64)) #s(literal 1/2 binary64))
(pow.f64 (cbrt.f64 eps) #s(literal 3 binary64))
(pow.f64 (sqrt.f64 eps) #s(literal 2 binary64))
(pow.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/3 binary64))
(sqrt.f64 (pow.f64 eps #s(literal 2 binary64)))
(fabs.f64 eps)
(log.f64 (exp.f64 eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 eps)))
(cbrt.f64 (pow.f64 eps #s(literal 3 binary64)))
eps
(expm1.f64 (log1p.f64 eps))
(log1p.f64 (expm1.f64 eps))
(exp.f64 (log.f64 eps))
(exp.f64 (*.f64 (log.f64 eps) #s(literal 1 binary64)))
(fma.f64 #s(literal 1 binary64) eps #s(literal 0 binary64))
(fma.f64 (pow.f64 (cbrt.f64 eps) #s(literal 2 binary64)) (cbrt.f64 eps) #s(literal 0 binary64))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) #s(literal 0 binary64))
(-.f64 (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64))
(pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)) eps))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal -1/2 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal -1/2 binary64)))))
(cbrt.f64 (pow.f64 (*.f64 x #s(literal -1/2 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal -1/2 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal -1/2 binary64))) #s(literal 1 binary64)))
(+.f64 eps (*.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) eps))
(+.f64 (*.f64 eps #s(literal 1 binary64)) (*.f64 eps (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 eps (*.f64 x #s(literal -1/2 binary64)) #s(literal 1 binary64))))) #s(literal 1 binary64))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 3 binary64)))) (*.f64 eps (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 eps (*.f64 x #s(literal -1/2 binary64))) #s(literal 2 binary64)))) (*.f64 eps (-.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64))))))
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(fma.f64 x (*.f64 eps #s(literal -1/2 binary64)) (*.f64 x (/.f64 (cos.f64 x) x)))
(fma.f64 (*.f64 eps #s(literal -1/2 binary64)) x (*.f64 (/.f64 (cos.f64 x) x) x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)))) #s(literal 1 binary64))
(-.f64 (/.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))) (/.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))))
(*.f64 #s(literal 1 binary64) (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 2 binary64)) (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(*.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(/.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64))) (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x)))
(/.f64 (neg.f64 (+.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (*.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))))
(/.f64 (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 3 binary64)) (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal -1/8 binary64))) (+.f64 (pow.f64 (/.f64 (cos.f64 x) x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 eps #s(literal -1/2 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64))))))
(pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(log.f64 (exp.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)))))
(cbrt.f64 (pow.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (cos.f64 x)) x)
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 eps (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (cos.f64 x)) (*.f64 eps x))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 eps x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) eps))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(/.f64 (neg.f64 (*.f64 eps (cos.f64 x))) x)
(pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))

simplify286.0ms (2%)

Algorithm
1×egg-herbie
Rules
841×fma-define
347×distribute-lft-in
331×distribute-rgt-in
308×times-frac
235×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0127528811
1343327352
Stop Event
1×node limit
Counts
803 → 789
Calls
Call 1
Inputs
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 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))))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 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 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x)))
(*.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 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 #s(literal 1/2 binary64) eps) (/.f64 #s(literal 1 binary64) x))))
(/.f64 #s(literal 1 binary64) x)
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (pow.f64 x #s(literal 2 binary64)))) x)
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(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))) #s(literal 1 binary64))
(/.f64 (*.f64 eps (cos.f64 x)) x)
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 eps (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (cos.f64 x)) (*.f64 eps x))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 eps x))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) eps))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(/.f64 (neg.f64 (*.f64 eps (cos.f64 x))) x)
(pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 1 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 3 binary64))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 2 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (cos.f64 x) x)))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(exp.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))
Outputs
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
(*.f64 #s(literal 1/2 binary64) eps)
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
(*.f64 #s(literal -1/2 binary64) x)
eps
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x))))
(*.f64 eps (fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (fma.f64 #s(literal -1/2 binary64) x (/.f64 #s(literal 1 binary64) eps)))
eps
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x)))
(+.f64 eps (*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) 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 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) 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 x (pow.f64 eps #s(literal 2 binary64)))))
(fma.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))) eps)
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (pow.f64 eps #s(literal 2 binary64))))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)))
(*.f64 x (fma.f64 #s(literal -1/2 binary64) (pow.f64 eps #s(literal 2 binary64)) (/.f64 eps x)))
(*.f64 #s(literal -1/2 binary64) (*.f64 (pow.f64 eps #s(literal 2 binary64)) x))
(*.f64 #s(literal -1/2 binary64) (*.f64 x (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 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
(*.f64 #s(literal -1 binary64) (*.f64 x (+.f64 (*.f64 #s(literal -1 binary64) (/.f64 eps x)) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))))))
(*.f64 (neg.f64 x) (fma.f64 #s(literal -1 binary64) (/.f64 eps x) (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (/.f64 eps x)) (neg.f64 x))
#s(literal 1 binary64)
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(+.f64 #s(literal 1 binary64) (*.f64 #s(literal -1/2 binary64) (*.f64 eps x)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
(*.f64 #s(literal -1/2 binary64) (*.f64 eps x))
(*.f64 x (*.f64 eps #s(literal -1/2 binary64)))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps))))
(*.f64 #s(literal -1 binary64) (*.f64 eps (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps))))
(*.f64 (neg.f64 eps) (-.f64 (*.f64 #s(literal 1/2 binary64) x) (/.f64 #s(literal 1 binary64) eps)))
(*.f64 eps (neg.f64 (fma.f64 #s(literal 1/2 binary64) x (/.f64 #s(literal -1 binary64) eps))))
#s(literal 1 binary64)
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(fma.f64 eps (*.f64 #s(literal -1/2 binary64) x) #s(literal 1 binary64))
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#s(literal 1 binary64)
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(cos.f64 x)
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(log1p.f64 (expm1.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(exp.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(exp.f64 (*.f64 (log.f64 (fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal -1/2 binary64) eps (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 #s(literal 1 binary64) (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 #s(literal 1 binary64) (*.f64 eps #s(literal -1/2 binary64)) (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 (cos.f64 x) (/.f64 #s(literal 1 binary64) x) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)) (cbrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) #s(literal 2 binary64)) (cbrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(fma.f64 (sqrt.f64 (/.f64 (cos.f64 x) x)) (sqrt.f64 (/.f64 (cos.f64 x) x)) (*.f64 eps #s(literal -1/2 binary64)))
(+.f64 (/.f64 (cos.f64 x) x) (*.f64 eps #s(literal -1/2 binary64)))
(fma.f64 (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (sqrt.f64 (*.f64 eps #s(literal -1/2 binary64))) (/.f64 (cos.f64 x) x))
(fma.f64 eps #s(literal -1/2 binary64) (/.f64 (cos.f64 x) x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 x #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 3 binary64))
(*.f64 x #s(literal 1/12 binary64))
(pow.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(pow.f64 (sqrt.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 2 binary64))
(*.f64 x #s(literal 1/12 binary64))
(sqrt.f64 (pow.f64 (*.f64 x #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 x #s(literal 1/12 binary64)))
(log.f64 (pow.f64 (exp.f64 x) #s(literal 1/12 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 x #s(literal 1/12 binary64)))))
(*.f64 x #s(literal 1/12 binary64))
(cbrt.f64 (*.f64 (pow.f64 x #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(expm1.f64 (log1p.f64 (*.f64 x #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x #s(literal 1/12 binary64))
(exp.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))))
(*.f64 x #s(literal 1/12 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 x #s(literal 1/12 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 1 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(pow.f64 (cbrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 3 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(pow.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)) #s(literal 1/3 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(pow.f64 (sqrt.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 2 binary64))
(*.f64 eps #s(literal 1/12 binary64))
(sqrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps #s(literal 1/12 binary64)))
(log.f64 (pow.f64 (exp.f64 eps) #s(literal 1/12 binary64)))
(*.f64 eps #s(literal 1/12 binary64))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps #s(literal 1/12 binary64)))))
(*.f64 eps #s(literal 1/12 binary64))
(cbrt.f64 (*.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 1/1728 binary64)))
(cbrt.f64 (pow.f64 (*.f64 eps #s(literal 1/12 binary64)) #s(literal 3 binary64)))
(expm1.f64 (log1p.f64 (*.f64 eps #s(literal 1/12 binary64))))
(log1p.f64 (expm1.f64 (*.f64 eps #s(literal 1/12 binary64))))
(*.f64 eps #s(literal 1/12 binary64))
(exp.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))))
(*.f64 eps #s(literal 1/12 binary64))
(exp.f64 (*.f64 (log.f64 (*.f64 eps #s(literal 1/12 binary64))) #s(literal 1 binary64)))
(*.f64 eps #s(literal 1/12 binary64))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))) #s(literal 1 binary64))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(/.f64 (*.f64 eps (cos.f64 x)) x)
(*.f64 eps (/.f64 (cos.f64 x) x))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) (/.f64 x (cos.f64 x))))
(/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 x (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x (cos.f64 x)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (cos.f64 x)) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps #s(literal 0 binary64))) x)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) x) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64)))) x))
(*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cos.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) #s(literal 1 binary64)) (*.f64 eps (/.f64 x (cos.f64 x))))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 (*.f64 eps x) (cos.f64 x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (cos.f64 x)) (*.f64 eps x))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (*.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 eps x)))
(/.f64 (*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (neg.f64 (cos.f64 x))) (*.f64 eps x))
(*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 eps x))))
(/.f64 (*.f64 #s(literal 1 binary64) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 x (cos.f64 x)))
(/.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 x (cos.f64 x)))
(/.f64 (*.f64 #s(literal 1 binary64) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 (/.f64 x (cos.f64 x)) eps))
(/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 (*.f64 eps x) (cos.f64 x)))
(/.f64 (pow.f64 eps #s(literal 2 binary64)) (*.f64 eps (/.f64 x (cos.f64 x))))
(/.f64 (*.f64 (cos.f64 x) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) (fma.f64 eps eps #s(literal 0 binary64))) x)
(/.f64 (/.f64 (*.f64 (cos.f64 x) (pow.f64 eps #s(literal 3 binary64))) x) (pow.f64 eps #s(literal 2 binary64)))
(/.f64 (*.f64 (cos.f64 x) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(*.f64 (cos.f64 x) (/.f64 (fma.f64 eps eps #s(literal 0 binary64)) (*.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) (*.f64 eps x)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (+.f64 (pow.f64 eps #s(literal 3 binary64)) #s(literal 0 binary64))) (*.f64 x (fma.f64 eps eps (-.f64 #s(literal 0 binary64) (*.f64 eps #s(literal 0 binary64))))))
(*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (fma.f64 eps eps #s(literal 0 binary64))) (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (pow.f64 eps #s(literal 3 binary64)) (pow.f64 eps #s(literal 2 binary64))) (/.f64 (cos.f64 x) (neg.f64 x)))
(/.f64 (*.f64 (neg.f64 (cos.f64 x)) (fma.f64 eps eps #s(literal 0 binary64))) (*.f64 x eps))
(*.f64 (fma.f64 eps eps #s(literal 0 binary64)) (/.f64 (neg.f64 (cos.f64 x)) (*.f64 eps x)))
(*.f64 (pow.f64 eps #s(literal 2 binary64)) (/.f64 (cos.f64 x) (neg.f64 (*.f64 eps x))))
(/.f64 (neg.f64 (*.f64 eps (cos.f64 x))) x)
(*.f64 eps (/.f64 (cos.f64 x) (neg.f64 x)))
(*.f64 (/.f64 (cos.f64 x) x) (neg.f64 eps))
(pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 1 binary64))
(*.f64 eps (/.f64 (cos.f64 x) x))
(pow.f64 (cbrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 3 binary64))
(*.f64 eps (/.f64 (cos.f64 x) x))
(pow.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)) #s(literal 1/3 binary64))
(*.f64 eps (/.f64 (cos.f64 x) x))
(pow.f64 (sqrt.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 2 binary64))
(*.f64 eps (/.f64 (cos.f64 x) x))
(sqrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 2 binary64)))
(fabs.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))
(log.f64 (pow.f64 (exp.f64 eps) (/.f64 (cos.f64 x) x)))
(*.f64 eps (/.f64 (cos.f64 x) x))
(log.f64 (+.f64 #s(literal 1 binary64) (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x)))))
(*.f64 eps (/.f64 (cos.f64 x) x))
(cbrt.f64 (pow.f64 (*.f64 eps (/.f64 (cos.f64 x) x)) #s(literal 3 binary64)))
(*.f64 eps (/.f64 (cos.f64 x) x))
(expm1.f64 (log1p.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(log1p.f64 (expm1.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(*.f64 eps (/.f64 (cos.f64 x) x))
(exp.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))))
(*.f64 eps (/.f64 (cos.f64 x) x))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (/.f64 (cos.f64 x) x))) #s(literal 1 binary64)))
(*.f64 eps (/.f64 (cos.f64 x) x))

eval563.0ms (4%)

Compiler

Compiled 20942 to 4323 computations (79.4% saved)

prune134.0ms (0.9%)

Pruning

15 alts after pruning (10 fresh and 5 done)

PrunedKeptTotal
New9898997
Fresh123
Picked415
Done347
Total997151012
Accuracy
100.0%
Counts
1012 → 15
Alt Table
Click to see full alt table
StatusAccuracyProgram
97.9%
(*.f64 (/.f64 eps (neg.f64 x)) (neg.f64 x))
99.0%
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 eps)) (neg.f64 x))
99.9%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
99.8%
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 eps x)) #s(literal 1/2 binary64)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
✓100.0%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
99.5%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
✓99.7%
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
99.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
✓98.0%
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
98.7%
(*.f64 eps (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) x)))
5.8%
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
✓99.4%
(*.f64 eps (cos.f64 x))
✓98.0%
eps
Compiler

Compiled 552 to 271 computations (50.9% saved)

regimes26.0ms (0.2%)

Counts
29 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (/.f64 eps (neg.f64 x)) (neg.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 eps)) (neg.f64 x))
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
(+.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
Calls

3 calls:

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)

regimes30.0ms (0.2%)

Counts
28 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 x (*.f64 eps #s(literal -1/2 binary64))))
(*.f64 (/.f64 eps (neg.f64 x)) (neg.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (*.f64 x (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))) x)))
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(+.f64 eps (*.f64 (*.f64 #s(literal -1/2 binary64) eps) (pow.f64 x #s(literal 2 binary64))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 x eps))))
(*.f64 (*.f64 (/.f64 (cos.f64 x) x) (neg.f64 eps)) (neg.f64 x))
(*.f64 eps (*.f64 x (+.f64 (*.f64 #s(literal -1/2 binary64) eps) (/.f64 (cos.f64 x) x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) x) (*.f64 #s(literal -1/6 binary64) eps)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 #s(literal 1/12 binary64) (*.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (*.f64 x #s(literal 1/12 binary64))) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 (*.f64 x #s(literal 1/12 binary64)) (+.f64 eps x)) #s(literal 1/2 binary64)))))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/6 binary64) eps) (*.f64 x (-.f64 (*.f64 x (+.f64 (*.f64 #s(literal 1/12 binary64) eps) (*.f64 #s(literal 1/12 binary64) x))) #s(literal 1/2 binary64)))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) eps)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 #s(literal -1/2 binary64) (*.f64 eps (sin.f64 x)))))
(-.f64 (sin.f64 (*.f64 eps (+.f64 #s(literal 1 binary64) (/.f64 x eps)))) (sin.f64 x))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(+.f64 (*.f64 (*.f64 eps (*.f64 #s(literal -1/2 binary64) eps)) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
(*.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (pow.f64 eps #s(literal 2 binary64))) (*.f64 eps (/.f64 (cos.f64 x) x))) (neg.f64 x))
(+.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 (cos.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal 2 binary64) x eps))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 (+.f64 eps #s(literal 0 binary64)) #s(literal 1/2 binary64)))))
Outputs
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
Calls

3 calls:

13.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
7.0ms
x
7.0ms
eps
Results
AccuracySegmentsBranch
99.9%1x
99.9%1eps
99.9%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes22.0ms (0.2%)

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

3 calls:

9.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
6.0ms
eps
6.0ms
x
Results
AccuracySegmentsBranch
99.8%1x
99.8%1eps
99.8%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 15 to 10 computations (33.3% saved)

regimes6.0ms (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes117.0ms (0.8%)

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

2 calls:

114.0ms
eps
3.0ms
x
Results
AccuracySegmentsBranch
99.0%1x
99.0%1eps
Compiler

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

regimes4.0ms (0%)

Accuracy

Total -59.1b remaining (-4681.3%)

Threshold costs -59.1b (-4681.3%)

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

2 calls:

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

Compiled 6 to 4 computations (33.3% saved)

simplify3.0ms (0%)

Algorithm
1×egg-herbie
Rules
15×*-commutative
6×+-commutative
3×1-exp
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039251
165251
Stop Event
1×saturated
Calls
Call 1
Inputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
eps
Outputs
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (+.f64 (*.f64 #s(literal -1/2 binary64) (sin.f64 x)) (*.f64 #s(literal -1/6 binary64) (*.f64 eps (cos.f64 x)))))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))) (*.f64 #s(literal 2 binary64) (sin.f64 (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 (cos.f64 (+.f64 (*.f64 #s(literal 1/2 binary64) eps) x)) eps)
(*.f64 eps (cos.f64 (+.f64 x (*.f64 eps #s(literal 1/2 binary64)))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 #s(literal -1/2 binary64) (+.f64 eps x)))))
(*.f64 eps (+.f64 #s(literal 1 binary64) (*.f64 eps (*.f64 x #s(literal -1/2 binary64)))))
eps

soundness914.0ms (6.4%)

Rules
978×log1p-expm1-u
978×expm1-log1p-u
846×fma-define
834×fma-neg
701×associate-*r*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
092819196
1223217978
2779517974
0114529311
1299827919
2724027907
054210705
1121910322
235769977
01268
116068
2246068
Stop Event
1×fuel
1×node limit
1×node limit
1×node limit
1×node limit
Compiler

Compiled 568 to 208 computations (63.4% saved)

preprocess154.0ms (1.1%)

Compiler

Compiled 180 to 94 computations (47.8% saved)

end0.0ms (0%)

Profiling

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