Details

Time bar (total: 15.4s)

analyze0.0ms (0%)

Algorithm
search
Search
ProbabilityValidUnknownPreconditionInfiniteDomainCan'tIter
0%0%99.9%0.1%0%0%0%0
100%99.9%0%0.1%0%0%0%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample4.8s (31.1%)

Results
2.2s3585×body1024valid
1.3s1253×body2048valid
692.0ms2020×body256valid
566.0ms1396×body512valid
3.0msbody4096valid
Bogosity

preprocess17.0ms (0.1%)

Algorithm
egg-herbie
Rules
144×fma-def
80×associate--r+
72×associate-+l-
56×+-commutative
48×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01342
11942
22742
34142
45642
58442
617242
723742
831842
939942
1044742
1145142
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (sin.f64 (+.f64 x 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 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify30.0ms (0.2%)

Algorithm
egg-herbie
Rules
80×fma-def
42×associate--r+
38×associate-+l-
30×+-commutative
24×associate--l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0921
11221
21721
32521
43421
55121
610321
714321
818721
923021
1025421
1125621
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
58.4%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
58.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 x)
3.45%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.75%
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
3 → 52
Calls

15 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
x
@0
(sin.f64 (+.f64 x eps))
0.0ms
eps
@0
(sin.f64 (+.f64 x eps))
0.0ms
eps
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0ms
x
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite127.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1084×*-commutative
910×associate-*r/
790×distribute-lft-in
770×distribute-rgt-in
700×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0937
121137
2310837
Stop Event
node limit
Counts
3 → 169
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sin.f64 x)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 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1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 x)))))))

simplify152.0ms (1%)

Algorithm
egg-herbie
Rules
1132×+-commutative
888×fma-def
810×associate-*r*
804×associate-+r-
784×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047510109
113359671
270759671
Stop Event
node limit
Counts
221 → 278
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (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 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.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 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (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 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
x
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x 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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.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 1 (-.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))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) 1) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2) 2)
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(*.f64 (sin.f64 x) 1)
(*.f64 1 (sin.f64 x))
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(pow.f64 (sin.f64 x) 1)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(log.f64 (exp.f64 (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(expm1.f64 (log1p.f64 (sin.f64 x)))
(exp.f64 (log.f64 (sin.f64 x)))
(log1p.f64 (expm1.f64 (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (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 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(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 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (*.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (fma.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 6)))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (-.f64 eps (-.f64 (-.f64 x x) x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x x) eps))) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)))) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1)
(sin.f64 x)
(*.f64 (sin.f64 x) 1)
(sin.f64 x)
(*.f64 1 (sin.f64 x))
(sin.f64 x)
(*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)))
(sin.f64 x)
(*.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(sin.f64 x)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)))
(sin.f64 x)
(pow.f64 (sin.f64 x) 1)
(sin.f64 x)
(pow.f64 (sqrt.f64 (sin.f64 x)) 2)
(sin.f64 x)
(pow.f64 (cbrt.f64 (sin.f64 x)) 3)
(sin.f64 x)
(pow.f64 (pow.f64 (sin.f64 x) 3) 1/3)
(sin.f64 x)
(sqrt.f64 (pow.f64 (sin.f64 x) 2))
(fabs.f64 (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 x)))
(sin.f64 x)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 x))))
(sin.f64 x)
(cbrt.f64 (pow.f64 (sin.f64 x) 3))
(sin.f64 x)
(expm1.f64 (log1p.f64 (sin.f64 x)))
(sin.f64 x)
(exp.f64 (log.f64 (sin.f64 x)))
(sin.f64 x)
(log1p.f64 (expm1.f64 (sin.f64 x)))
(sin.f64 x)

eval76.0ms (0.5%)

Compiler

Compiled 6705 to 2193 computations (67.3% saved)

prune101.0ms (0.7%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New24533278
Fresh000
Picked011
Done000
Total24534279
Error
0.2%
Counts
279 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
0.62%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
50.17%
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
59.18%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
59.5%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
58.52%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.32%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
59.16%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
37.84%
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
40.28%
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.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)))))) (sin.f64 x))
40.28%
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
35.38%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
60.93%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
58.59%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
62.02%
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
58.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
58.98%
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
59.07%
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
58.43%
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
58.96%
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
61.28%
(-.f64 (sin.f64 (+.f64 x eps)) x)
95.83%
(-.f64 (sin.f64 x) (sin.f64 x))
59.05%
(-.f64 (sin.f64 eps) (sin.f64 x))
58.41%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
68.84%
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
75.84%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
58.33%
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
35.39%
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
45.06%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
36.17%
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
0.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
59.28%
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
59.22%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
49.97%
(*.f64 (cos.f64 x) eps)
23.31%
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
Compiler

Compiled 1151 to 690 computations (40.1% saved)

localize43.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 eps)
0.18%
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
0.24%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
3.19%
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series7.0ms (0%)

Counts
4 → 64
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms
eps
@inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms
eps
@-inf
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1.0ms
eps
@-inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.0ms
x
@-inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite105.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
844×swap-sqr
770×associate-*r/
658×distribute-rgt-in
658×associate-*l/
620×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
128774
2353274
Stop Event
node limit
Counts
4 → 204
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(sin.f64 eps)
Outputs
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eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))))

simplify144.0ms (0.9%)

Algorithm
egg-herbie
Rules
1288×associate-+l+
1238×associate-+r+
834×associate-*r*
814×+-commutative
782×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054310494
1142210316
2658510316
Stop Event
node limit
Counts
268 → 333
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) -1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))) (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) 1) (-.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (cos.f64 eps)) 1) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) -1)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (cos.f64 eps)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
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(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(*.f64 (sin.f64 eps) 1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) (+.f64 -1/120 (*.f64 (cos.f64 eps) 1/120)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) (+.f64 -1/120 (*.f64 (cos.f64 eps) 1/120))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
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(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))))
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(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
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(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(+.f64 (cos.f64 eps) -1)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(+.f64 (cos.f64 eps) -1)
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
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(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(+.f64 (cos.f64 eps) -1)
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
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(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))
(+.f64 (cos.f64 eps) -1)
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))
(/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))))
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(*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
(/.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))))
(*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)) (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)))
(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 6) -1) (*.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))) (+.f64 (pow.f64 (cos.f64 eps) 3) 1)))
(/.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 6)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))
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(/.f64 (+.f64 (pow.f64 (cos.f64 eps) 4) -1) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))
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(/.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (*.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) -1)))))
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(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.16%
(*.f64 (cos.f64 x) eps)
Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 (cos.f64 x) eps)
0.0ms
x
@0
(*.f64 (cos.f64 x) eps)
0.0ms
eps
@inf
(*.f64 (cos.f64 x) eps)
0.0ms
x
@-inf
(*.f64 (cos.f64 x) eps)
0.0ms
x
@inf
(*.f64 (cos.f64 x) eps)

rewrite50.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1282×add-sqr-sqrt
1272×*-un-lft-identity
1170×add-cube-cbrt
1152×add-cbrt-cube
1138×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
113511
2158311
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))

simplify60.0ms (0.4%)

Algorithm
egg-herbie
Rules
1030×fma-def
932×log-prod
896×distribute-lft-out
740×*-commutative
636×distribute-rgt-in
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
051301
1127297
2414289
31990277
45401275
Stop Event
node limit
Counts
19 → 29
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
Outputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24)))
(fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) eps)
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24))) (fma.f64 (*.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/720 (pow.f64 x 6))) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) eps))
(*.f64 eps (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 -1/720 (pow.f64 x 6))) (fma.f64 1/24 (pow.f64 x 4) 1)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 eps (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 eps (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 eps (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 eps (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 eps (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.03%
(+.f64 x (+.f64 x eps))
0.28%
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
4.76%
(+.f64 x (-.f64 eps x))
5.63%
(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
Compiler

Compiled 88 to 34 computations (61.4% saved)

series7.0ms (0%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
2.0ms
eps
@0
(+.f64 x (+.f64 x eps))
1.0ms
x
@inf
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
0.0ms
x
@0
(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
0.0ms
x
@0
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))

rewrite136.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
842×associate-/r*
736×associate-+l+
492×associate-/l*
440×+-commutative
378×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
015100
1342100
25012100
Stop Event
node limit
Counts
4 → 193
Calls
Call 1
Inputs
(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(+.f64 x (-.f64 eps x))
(*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(+.f64 x (+.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (-.f64 x (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 x)) (-.f64 1 (-.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) (-.f64 1 (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (-.f64 eps x)))) (-.f64 1 (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (+.f64 x (neg.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (+.f64 1 (-.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (+.f64 x 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x eps))) (-.f64 1 (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 eps x))) (-.f64 1 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 eps x)) x)) (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 eps x)) x)) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))) (fma.f64 (neg.f64 x) 1 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 eps x)) x)) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x (-.f64 eps x)) x)) (-.f64 (/.f64 (pow.f64 (-.f64 eps x) 2) (-.f64 x (-.f64 eps x))) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x eps) x)) (-.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) (neg.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 x (/.f64 (-.f64 x eps) x)) (+.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 eps 3) (fma.f64 eps eps (*.f64 x (+.f64 x eps)))) (-.f64 (/.f64 (pow.f64 x 3) (fma.f64 eps eps (*.f64 x (+.f64 x eps)))) x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (exp.f64 (log1p.f64 (-.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (*.f64 eps eps) (+.f64 x eps))) (/.f64 x (/.f64 (+.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (/.f64 (pow.f64 eps 3) (fma.f64 eps eps (*.f64 x (+.f64 x eps))))) (/.f64 (pow.f64 x 3) (fma.f64 eps eps (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (+.f64 x eps) 0) x)))) (#(struct:change #<rule egg-rr> 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simplify125.0ms (0.8%)

Algorithm
egg-herbie
Rules
1340×associate-+r-
1234×+-commutative
578×associate-*r*
492×associate-*l*
452×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
05687293
115116323
270656323
Stop Event
node limit
Counts
289 → 331
Calls
Call 1
Inputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))) (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
eps
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(+.f64 (*.f64 2 x) eps)
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)
(*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(*.f64 1 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(-.f64 eps (-.f64 x x))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 x) 1 x)))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (sqrt.f64 x)) (sqrt.f64 x) x)))
(-.f64 eps (-.f64 (-.f64 x x) (fma.f64 (neg.f64 (cbrt.f64 x)) (pow.f64 (cbrt.f64 x) 2) x)))
(-.f64 (+.f64 x eps) x)
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(/.f64 (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (/.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x)))) (sqrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)))) (/.f64 (-.f64 x (+.f64 x eps)) (cbrt.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)))) (/.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x)))) (cbrt.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)))))
(/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 x (-.f64 eps x)))
(/.f64 (-.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (*.f64 eps eps)) (-.f64 x (-.f64 eps x)))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (+.f64 x x) 3)) (+.f64 (*.f64 (+.f64 x x) (+.f64 x x)) (-.f64 (*.f64 eps eps) (*.f64 (+.f64 x x) eps))))
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2))) (neg.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x))))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) 1) (-.f64 x (+.f64 x eps)))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (sqrt.f64 (-.f64 x (+.f64 x eps)))) (sqrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (*.f64 (cbrt.f64 (-.f64 x (+.f64 x eps))) (cbrt.f64 (-.f64 x (+.f64 x eps))))) (cbrt.f64 (-.f64 x (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 x) (sqrt.f64 (+.f64 x eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) 1) (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x)))))) (sqrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (*.f64 (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x))))))) (cbrt.f64 (fma.f64 x x (*.f64 (+.f64 x eps) (+.f64 x (-.f64 eps x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) 1) (+.f64 x (-.f64 eps x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (sqrt.f64 (+.f64 x (-.f64 eps x)))) (sqrt.f64 (+.f64 x (-.f64 eps x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (cbrt.f64 (+.f64 x (-.f64 eps x)))) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 2))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 2)) (cbrt.f64 (+.f64 x (-.f64 eps x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2))) (/.f64 1 (-.f64 x (-.f64 eps x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps x) 3))) (/.f64 1 (fma.f64 x x (*.f64 (-.f64 eps x) (-.f64 eps (+.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x))) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))
(pow.f64 (+.f64 x (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 x (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 2))
(log.f64 (exp.f64 (+.f64 x (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x eps))))
(exp.f64 (log.f64 (+.f64 x (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 1 x (+.f64 x eps))
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
Outputs
(cos.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (cos.f64 (*.f64 1/2 eps)))
(fma.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (cos.f64 (*.f64 1/2 eps)))
(-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) x))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (cos.f64 (*.f64 1/2 eps))))
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) x))
(+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(fma.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) (+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (cos.f64 (*.f64 1/2 eps))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))
(-.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)) (fma.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 x)
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (cos.f64 x))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (cos.f64 x)))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (fma.f64 -1/8 (*.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 x)))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (cos.f64 x)))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (*.f64 (+.f64 1 (*.f64 -1/8 (*.f64 eps eps))) (cos.f64 x)))
(+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (cos.f64 x) (*.f64 1/48 (*.f64 (pow.f64 eps 3) (sin.f64 x))))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (+.f64 (fma.f64 -1/8 (*.f64 (cos.f64 x) (*.f64 eps eps)) (cos.f64 x)) (*.f64 (*.f64 1/48 (pow.f64 eps 3)) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (fma.f64 -1/8 (*.f64 eps (*.f64 eps (cos.f64 x))) (fma.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x))))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
(cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps))))
(cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))
(cos.f64 (fma.f64 1/2 eps x))
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
eps
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps)))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))))
(-.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/2)))) (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) x)) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 3))) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))
(fma.f64 -1 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps))))))
(-.f64 (fma.f64 1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/2))))) (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 1/2 (*.f64 eps (cos.f64 x)))
(*.f64 (*.f64 1/2 eps) (cos.f64 x))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 1/2 (*.f64 eps (cos.f64 x))))
(fma.f64 -1/4 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (*.f64 1/2 eps) (cos.f64 x)))
(fma.f64 -1/4 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (*.f64 1/2 eps) (cos.f64 x)))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x))))))
(fma.f64 -1/4 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12))))
(fma.f64 -1/4 (*.f64 eps (*.f64 eps (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12) (*.f64 (*.f64 1/2 eps) (cos.f64 x))))
(+.f64 (*.f64 -1/4 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 -1/16 (cos.f64 x)) (*.f64 -1/48 (cos.f64 x)))) (*.f64 1/48 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))
(fma.f64 -1/4 (*.f64 (sin.f64 x) (*.f64 eps eps)) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/12) (*.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 4))))))
(fma.f64 -1/4 (*.f64 eps (*.f64 eps (sin.f64 x))) (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (fma.f64 1/48 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (cos.f64 x) (*.f64 -1/12 (pow.f64 eps 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
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(/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps))
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eps
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eps
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eps
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eps
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(pow.f64 (sqrt.f64 (+.f64 x (-.f64 eps x))) 2)
eps
(pow.f64 (cbrt.f64 (+.f64 x (-.f64 eps x))) 3)
eps
(pow.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3) 1/3)
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(sqrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 2))
(sqrt.f64 (pow.f64 (+.f64 eps 0) 2))
(fabs.f64 eps)
(log.f64 (exp.f64 (+.f64 x (-.f64 eps x))))
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(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (-.f64 eps x)))))
eps
(cbrt.f64 (pow.f64 (+.f64 x (-.f64 eps x)) 3))
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(expm1.f64 (log1p.f64 (+.f64 x (-.f64 eps x))))
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(exp.f64 (log.f64 (+.f64 x (-.f64 eps x))))
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(exp.f64 (*.f64 (log.f64 (+.f64 x (-.f64 eps x))) 1))
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(log1p.f64 (expm1.f64 (+.f64 x (-.f64 eps x))))
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(fma.f64 1 x (-.f64 eps x))
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(fma.f64 1 (+.f64 x eps) (neg.f64 x))
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(fma.f64 1 (-.f64 eps x) x)
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(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) (neg.f64 x))
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(fma.f64 (sqrt.f64 (-.f64 eps x)) (sqrt.f64 (-.f64 eps x)) x)
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(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 eps x))
eps
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))
eps
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 eps x)) 2) (cbrt.f64 (-.f64 eps x)) x)
eps
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 eps x))
eps
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))))) 1)
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(pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 1)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))))) 2)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))))) 3)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 2))
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(pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 3)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(pow.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3) 1/3)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(sqrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (fma.f64 2 x eps) 2))
(fabs.f64 (fma.f64 x 2 eps))
(log.f64 (exp.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 x (+.f64 x eps)))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(cbrt.f64 (pow.f64 (+.f64 x (+.f64 x eps)) 3))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(expm1.f64 (log1p.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(exp.f64 (log.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(exp.f64 (*.f64 (log.f64 (+.f64 x (+.f64 x eps))) 1))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 1 x (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 1 (+.f64 x eps) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)
(fma.f64 2 x eps)
(fma.f64 x 2 eps)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))
(fma.f64 2 x eps)
(fma.f64 x 2 eps)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.23%
(exp.f64 (sin.f64 (+.f64 x eps)))
5.08%
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
5.75%
(sin.f64 (+.f64 x eps))
15.93%
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
eps
@0
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
0.0ms
x
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@0
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
0.0ms
x
@inf
(exp.f64 (sin.f64 (+.f64 x eps)))

rewrite147.0ms (1%)

Algorithm
batch-egg-rewrite
Rules
1066×*-commutative
830×associate-*r/
766×distribute-lft-in
746×distribute-rgt-in
644×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
123247
2307247
Stop Event
node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (sin.f64 (+.f64 x eps)))
Outputs
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simplify155.0ms (1%)

Algorithm
egg-herbie
Rules
1388×associate-+r-
1002×fma-def
696×associate-*r*
614×associate-*l*
524×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054912209
1152611615
2709411603
Stop Event
node limit
Counts
261 → 341
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (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 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (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 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
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(/.f64 (*.f64 1 (-.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))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.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 (*.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)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.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))))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1)
(*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(pow.f64 (exp.f64 1) (sin.f64 (+.f64 x eps)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.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 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 -1/2 x) x) (sin.f64 eps) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (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 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 (*.f64 -1/2 eps) eps) 1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(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 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(exp.f64 (sin.f64 eps))
(+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))
(*.f64 (+.f64 (*.f64 (cos.f64 eps) x) 1) (exp.f64 (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
(fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (cos.f64 eps) x))))
(+.f64 (*.f64 (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (+.f64 (*.f64 -1/6 (cos.f64 eps)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))))
(fma.f64 (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (fma.f64 -1/6 (cos.f64 eps) (*.f64 (*.f64 -1/2 (cos.f64 eps)) (sin.f64 eps)))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) x) 1) (exp.f64 (sin.f64 eps))) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (fma.f64 (cos.f64 eps) -1/6 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -1/2))))) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 x))
(+.f64 (exp.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))))
(*.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x)))
(+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (exp.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x)))))
(+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))))))
(+.f64 (exp.f64 (sin.f64 x)) (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))))) (fma.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (+.f64 (*.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x))))) (*.f64 (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/6 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (cos.f64 x))))) (*.f64 (pow.f64 eps 3) (exp.f64 (sin.f64 x)))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 eps x)) (-.f64 (-.f64 (sin.f64 x) (sin.f64 x)) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(+.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(+.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(+.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))))) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(+.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(sin.f64 (+.f64 eps x))
(-.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(sin.f64 (+.f64 eps x))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 1 (-.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))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.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)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (neg.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1)
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2))
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))
(exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))
(exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 3)
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 1) (sin.f64 (+.f64 x eps)))
(exp.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 2))
(fabs.f64 (exp.f64 (sin.f64 (+.f64 eps x))))
(log.f64 (exp.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3))
(exp.f64 (sin.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (sin.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (sin.f64 (+.f64 eps x)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.14%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.18%
(*.f64 (cos.f64 x) (sin.f64 eps))
0.22%
(*.f64 (sin.f64 x) (cos.f64 eps))
3.24%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0%)

Counts
4 → 80
Calls

24 calls:

TimeVariablePointExpression
2.0ms
eps
@-inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
0.0ms
x
@inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
0.0ms
x
@0
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
0.0ms
eps
@inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
0.0ms
x
@-inf
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))

rewrite131.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1428×associate-*r/
1066×associate-*l/
324×associate-+l+
312×add-sqr-sqrt
308×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01396
128672
2401072
Stop Event
node limit
Counts
4 → 241
Calls
Call 1
Inputs
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))))))

simplify159.0ms (1%)

Algorithm
egg-herbie
Rules
1102×associate-*r*
898×associate-*l*
880×associate-/l*
600×+-commutative
550×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072620845
1202119843
Stop Event
node limit
Counts
321 → 471
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 -1/5040 (cos.f64 eps) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 -1/2 eps) eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 -1/2 eps) eps) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 1/120 (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (+.f64 (*.f64 (*.f64 -1/2 eps) eps) 1) (sin.f64 x))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 -1/2 eps) eps) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 -1/2 eps) eps) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/720 (pow.f64 x 6)) 1) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (*.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (+.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))))) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 x) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))

eval549.0ms (3.6%)

Compiler

Compiled 43487 to 18194 computations (58.2% saved)

prune447.0ms (2.9%)

Pruning

66 alts after pruning (62 fresh and 4 done)

PrunedKeptTotal
New1517421559
Fresh82028
Picked011
Done235
Total1527661593
Error
0.05%
Counts
1593 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
0.58%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.67%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
0.57%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
0.62%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.65%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
45.68%
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
50.17%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
28.87%
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
87.49%
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
73%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
2.54%
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
59.18%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
51%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
37.65%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
59.5%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
58.52%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.32%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
59.16%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
35.38%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
60.93%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
94.57%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
58.59%
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
62.02%
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
58.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
58.98%
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
59.07%
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
58.43%
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
58.96%
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
61.28%
(-.f64 (sin.f64 (+.f64 x eps)) x)
59.05%
(-.f64 (sin.f64 eps) (sin.f64 x))
58.41%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
68.68%
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
75.84%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
58.33%
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
45.06%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.63%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.64%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
22.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
0.76%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
25.86%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.69%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
59.28%
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
42.08%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
72.79%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
59.3%
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
59.44%
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
59.43%
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
46.53%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
63.62%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
74.47%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
63.72%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
76.54%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
82.54%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
74.19%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 eps (+.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
81.33%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (fma.f64 x 2 (neg.f64 eps)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
60.22%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
23.31%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
43.37%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
49.97%
(*.f64 (cos.f64 x) eps)
43.21%
(sin.f64 eps)
45.71%
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
6.16%
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
50.87%
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
69.83%
eps
Compiler

Compiled 2278 to 1534 computations (32.7% saved)

localize35.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.29%
(/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))
0.4%
(pow.f64 (sin.f64 eps) 2)
0.42%
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
0.78%
(+.f64 (cos.f64 eps) 1)
Compiler

Compiled 65 to 33 computations (49.2% saved)

series10.0ms (0.1%)

Counts
4 → 56
Calls

18 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(pow.f64 (sin.f64 eps) 2)
1.0ms
eps
@inf
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
1.0ms
eps
@-inf
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
1.0ms
x
@inf
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
1.0ms
x
@0
(/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))

rewrite140.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1802×associate-*l/
1278×associate-/r/
912×associate-/l/
324×add-sqr-sqrt
314×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01584
131964
2443864
Stop Event
node limit
Counts
4 → 325
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) 1)
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(pow.f64 (sin.f64 eps) 2)
(/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (neg.f64 (cos.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))) (+.f64 1 (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (pow.f64 (cos.f64 eps) 3) 1)) (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (+.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (+.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 -1 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 1 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (-.f64 (pow.f64 (cos.f64 eps) 3) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x 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simplify144.0ms (0.9%)

Algorithm
egg-herbie
Rules
1538×associate-/l*
1448×associate-*l*
1068×associate-/r*
1012×*-commutative
906×distribute-lft-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
081314451
1248914109
Stop Event
node limit
Counts
381 → 557
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/630 (sin.f64 x)) (+.f64 (*.f64 1/48 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))) (*.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
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(/.f64 (*.f64 (-.f64 0 (pow.f64 (sin.f64 eps) 4)) -1) (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) -1) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) 1))))
(/.f64 (*.f64 (-.f64 0 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)) -1) (+.f64 (+.f64 0 (pow.f64 (sin.f64 eps) 4)) (*.f64 0 (pow.f64 (sin.f64 eps) 2))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) -1) 2)
(neg.f64 (pow.f64 (sin.f64 eps) 2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(fma.f64 (cos.f64 eps) (cos.f64 eps) -1)
(+.f64 0 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(+.f64 (-.f64 0 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))) 1)
(-.f64 0 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))) 1)
(*.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) 1) (/.f64 1 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (/.f64 1 (sin.f64 x))))
(*.f64 (+.f64 (cos.f64 eps) 1) (/.f64 1 (neg.f64 (sin.f64 x))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 1 (sin.f64 x))))
(*.f64 -1 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(*.f64 (/.f64 1 (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (neg.f64 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 1 (neg.f64 (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) 1) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 x)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) 1) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 1 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2) (sin.f64 x)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 -1 (sqrt.f64 (sin.f64 x))) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 1 (+.f64 (cos.f64 eps) 1))) (/.f64 1 (sin.f64 x)))
(*.f64 (/.f64 -1 (*.f64 1 (sqrt.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 1 (cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2)))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) 1)) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 -1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (sin.f64 eps)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) -1) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (-.f64 (pow.f64 (cos.f64 eps) 3) 1)) (+.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1)))) (+.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (-.f64 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (cos.f64 eps) -1))) (*.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(exp.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (log.f64 (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2)) (*.f64 -1/720 (pow.f64 eps 6)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96)))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/630 (sin.f64 x)) (+.f64 (*.f64 1/48 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))) (*.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (*.f64 (-.f64 (*.f64 (sin.f64 x) -1/630) (fma.f64 1/48 (*.f64 (sin.f64 x) -1/24) (fma.f64 -1/4 (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4))) (*.f64 (sin.f64 x) -1/2880)))) (pow.f64 eps 8)) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96)))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (*.f64 (sin.f64 x) -1/630) (*.f64 (sin.f64 x) -1/1152)) (fma.f64 -1/4 (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96))) (*.f64 (sin.f64 x) -1/2880))) (pow.f64 eps 8)) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (neg.f64 (sin.f64 x)) (+.f64 1 (cos.f64 eps))))
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(neg.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(/.f64 (+.f64 (neg.f64 (cos.f64 eps)) -1) (sin.f64 x))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))
(log.f64 (/.f64 1 (exp.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(/.f64 (+.f64 (neg.f64 (cos.f64 eps)) -1) (sin.f64 x))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)) 3))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))
(exp.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (log.f64 (sin.f64 x))))
(exp.f64 (*.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (log.f64 (sin.f64 x))) 1))
(exp.f64 (-.f64 (log1p.f64 (cos.f64 eps)) (log.f64 (sin.f64 x))))
(log1p.f64 (expm1.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.86%
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(*.f64 eps (*.f64 x x))
0.0ms
x
@0
(*.f64 eps (*.f64 x x))
0.0ms
x
@inf
(*.f64 eps (*.f64 x x))
0.0ms
eps
@inf
(*.f64 eps (*.f64 x x))
0.0ms
eps
@-inf
(*.f64 eps (*.f64 x x))

rewrite51.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1122×add-sqr-sqrt
1110×*-un-lft-identity
1042×pow1
1026×add-cube-cbrt
1010×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
112013
2147313
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))))

simplify43.0ms (0.3%)

Algorithm
egg-herbie
Rules
1474×distribute-rgt-in
1446×distribute-lft-in
1184×log-prod
740×associate-*r*
696×associate-+r+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038455
194455
2354455
31919455
Stop Event
node limit
Counts
35 → 14
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))

localize33.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
3.4%
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))))
4.76%
(+.f64 x (-.f64 eps x))
5.37%
(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))
5.6%
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
Compiler

Compiled 158 to 36 computations (77.2% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
eps
@-inf
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
1.0ms
eps
@inf
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))))
0.0ms
x
@0
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
0.0ms
eps
@0
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))))
0.0ms
x
@inf
(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))

rewrite131.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1474×associate-+l+
782×+-commutative
776×associate-+r+
466×add-sqr-sqrt
458×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017159
1422119
26971119
Stop Event
node limit
Counts
3 → 238
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps 0))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps 0))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))))))
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simplify113.0ms (0.7%)

Algorithm
egg-herbie
Rules
1426×associate-+r+
1146×+-commutative
1048×fma-def
630×distribute-lft-in
572×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065411950
121939788
Stop Event
node limit
Counts
310 → 356
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
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(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
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(*.f64 -2 x)
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(fma.f64 1 (+.f64 eps 0) (neg.f64 (fma.f64 2 x eps)))
(fma.f64 (sqrt.f64 (+.f64 eps 0)) (sqrt.f64 (+.f64 eps 0)) (neg.f64 (fma.f64 2 x eps)))
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (-.f64 (-.f64 eps x) (fma.f64 2 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (+.f64 eps 0)) 2) (cbrt.f64 (+.f64 eps 0)) (neg.f64 (fma.f64 2 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (-.f64 (-.f64 eps x) (fma.f64 2 x eps)))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))))
(*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)
(*.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1/2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))) (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1/2))) 2)
(*.f64 (*.f64 2 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)) (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 1/2))) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1/2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 2))) (neg.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/6))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x))))
(sin.f64 (+.f64 eps x))
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
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(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
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(fma.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 (cos.f64 (+.f64 x (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (+.f64 x (*.f64 eps 1/2)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps 0))) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps 0))) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps)))))
(fma.f64 (cos.f64 (+.f64 x (*.f64 eps 1/2))) (sin.f64 (*.f64 eps 1/2)) (*.f64 (cos.f64 (*.f64 eps 1/2)) (sin.f64 (+.f64 x (*.f64 eps 1/2)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))) 1)
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1)
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(*.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))))
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2))
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 1)
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) 3) 1/3)
(sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps))))
(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2))))
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
(+.f64 (+.f64 eps 0) (+.f64 (*.f64 -1 (+.f64 x x)) (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps))))
(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
(+.f64 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1 (fma.f64 2 x eps)))
(*.f64 x -2)
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(*.f64 x -2)
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(fma.f64 2 (fma.f64 (neg.f64 (cbrt.f64 (fma.f64 x 2 eps))) (pow.f64 (cbrt.f64 (fma.f64 x 2 eps)) 2) (fma.f64 x 2 eps)) (*.f64 x -2))
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
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(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (*.f64 -1 eps))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (+.f64 (neg.f64 eps) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1 (fma.f64 2 x eps))))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (+.f64 (*.f64 -1 eps) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1 (fma.f64 2 x eps))))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (+.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1 (fma.f64 2 x eps))))
(*.f64 x -2)
(+.f64 (+.f64 (+.f64 eps 0) (*.f64 -2 x)) (+.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)) (fma.f64 (neg.f64 (fma.f64 2 x eps)) 1 (fma.f64 2 x eps))))
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(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 2)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 3)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3) 1/3)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2))
(fabs.f64 (+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2)))))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 3))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))) 1))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 (fma.f64 2 x eps) 0))))) (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 (fma.f64 eps 1/2 (+.f64 x (*.f64 eps 1/2)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.34%
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
0.56%
(log1p.f64 (sin.f64 (+.f64 x eps)))
5.75%
(sin.f64 (+.f64 x eps))
11.37%
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series126.0ms (0.8%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
69.0ms
eps
@inf
(log1p.f64 (sin.f64 (+.f64 x eps)))
29.0ms
x
@inf
(log1p.f64 (sin.f64 (+.f64 x eps)))
13.0ms
eps
@-inf
(log1p.f64 (sin.f64 (+.f64 x eps)))
12.0ms
x
@-inf
(log1p.f64 (sin.f64 (+.f64 x eps)))
1.0ms
x
@0
(log1p.f64 (sin.f64 (+.f64 x eps)))

rewrite124.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1070×*-commutative
892×associate-*r/
752×distribute-lft-in
732×distribute-rgt-in
710×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
124047
2311547
Stop Event
node limit
Counts
3 → 183
Calls
Call 1
Inputs
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (sin.f64 (+.f64 x eps)))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) 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(sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 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(sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1) 1) (+.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))))

simplify145.0ms (0.9%)

Algorithm
egg-herbie
Rules
996×fma-def
768×associate-*r*
610×associate-+r+
608×associate-+l+
608×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
056212293
1163211913
Stop Event
node limit
Counts
255 → 331
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (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 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(log.f64 (+.f64 1 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (/.f64 (*.f64 (cos.f64 eps) x) (+.f64 1 (sin.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))))) (+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (/.f64 (*.f64 (cos.f64 eps) x) (+.f64 1 (sin.f64 eps)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))))) (+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (/.f64 (*.f64 (cos.f64 eps) x) (+.f64 1 (sin.f64 eps))) (*.f64 1/6 (*.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (cos.f64 eps) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (*.f64 -1 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3))))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))))
(log.f64 (+.f64 1 (sin.f64 x)))
(+.f64 (/.f64 (*.f64 (cos.f64 x) eps) (+.f64 1 (sin.f64 x))) (log.f64 (+.f64 1 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (/.f64 (*.f64 eps (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (/.f64 (sin.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 -1 (/.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (+.f64 1 (sin.f64 x)) 2)))))) (+.f64 (log.f64 (+.f64 1 (sin.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 2 (/.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (+.f64 1 (sin.f64 x)) 3))) (+.f64 (*.f64 -1 (/.f64 (cos.f64 x) (+.f64 1 (sin.f64 x)))) (*.f64 3 (/.f64 (*.f64 (cos.f64 x) (sin.f64 x)) (pow.f64 (+.f64 1 (sin.f64 x)) 2))))) (pow.f64 eps 3))) (/.f64 (*.f64 eps (cos.f64 x)) (+.f64 1 (sin.f64 x))))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))))
(log.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (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 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.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 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (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)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) 1))
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 -1 (neg.f64 (sin.f64 x))))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 -1 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (cos.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(*.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (log1p.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 2))
(log.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1))
(cbrt.f64 (pow.f64 (log1p.f64 (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))))
(+.f64 (sin.f64 (+.f64 x eps)) 0)
(+.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) -1))
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) 1))
(+.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) -1)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) -1))
(+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 -1 (+.f64 (sin.f64 (+.f64 x eps)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1)
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2)
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x 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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 2))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 1 (-.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))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.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 1 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1)) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.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)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) 1) 1) (+.f64 (sin.f64 (+.f64 x eps)) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.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 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.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 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (sin.f64 eps)))
(log1p.f64 (sin.f64 eps))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (/.f64 (*.f64 (cos.f64 eps) x) (+.f64 1 (sin.f64 eps))))
(+.f64 (log1p.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (/.f64 (+.f64 (sin.f64 eps) 1) x)))
(+.f64 (log1p.f64 (sin.f64 eps)) (*.f64 (/.f64 (cos.f64 eps) (+.f64 (sin.f64 eps) 1)) x))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))))) (+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (/.f64 (*.f64 (cos.f64 eps) x) (+.f64 1 (sin.f64 eps)))))
(fma.f64 1/2 (*.f64 (*.f64 x x) (*.f64 -1 (+.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (+.f64 (sin.f64 eps) 1) 2)) (/.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) 1))))) (+.f64 (log1p.f64 (sin.f64 eps)) (/.f64 (cos.f64 eps) (/.f64 (+.f64 (sin.f64 eps) 1) x))))
(+.f64 (*.f64 (/.f64 (cos.f64 eps) (+.f64 (sin.f64 eps) 1)) x) (fma.f64 (*.f64 (*.f64 x x) 1/2) (-.f64 (/.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) (pow.f64 (+.f64 (sin.f64 eps) 1) 2)) (/.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) 1))) (log1p.f64 (sin.f64 eps))))
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(/.f64 (*.f64 (+.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 1) (sin.f64 (+.f64 eps x))) (+.f64 2 (sin.f64 (+.f64 eps x))))
(/.f64 (+.f64 2 (sin.f64 (+.f64 eps x))) (/.f64 (+.f64 2 (sin.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (cos.f64 eps)))) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 3) 1) 1) (+.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (+.f64 (sin.f64 (+.f64 x eps)) 1)) (+.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (+.f64 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3) -1) (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 2 (sin.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) 3)) (+.f64 2 (fma.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 (+.f64 eps x)))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 eps)
0.18%
(*.f64 (sin.f64 eps) (cos.f64 x))
0.23%
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
6.63%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series39.0ms (0.3%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
36.0ms
eps
@inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
eps
@-inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
x
@inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
x
@-inf
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
x
@0
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite124.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
776×distribute-rgt-in
732×distribute-lft-in
706×associate-*r/
586×associate-*l/
294×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01387
127147
2356447
Stop Event
node limit
Counts
3 → 185
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
Outputs
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simplify226.0ms (1.5%)

Algorithm
egg-herbie
Rules
1472×associate-+l-
1220×associate-+r-
992×fma-def
650×associate-*r*
542×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053312715
1144712283
2641812283
Stop Event
node limit
Counts
257 → 339
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
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(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))))
(/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) 2)
(/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 eps x) (+.f64 x eps)) 2)) (cos.f64 (/.f64 (-.f64 eps (+.f64 x (+.f64 x eps))) 2)))))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) (/.f64 2 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))) (/.f64 2 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 2 (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (-.f64 eps x)) 3)) (*.f64 2 (+.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) -2)
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) 1) 2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/2) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (-.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
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(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x)))) 1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (-.f64 eps x)) 3)) 1/2) (+.f64 (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))) (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (-.f64 eps x)) 3)) (/.f64 (fma.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))))) 1/2))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (-.f64 eps x)) 3)) (fma.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x))) (*.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x))))) 1/2)
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(*.f64 (sin.f64 eps) (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2)
(*.f64 (sin.f64 eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3)
(*.f64 (sin.f64 eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 1/3)
(*.f64 (sin.f64 eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))
(fabs.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 1))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (sin.f64 eps) (cos.f64 x))

eval1.2s (7.8%)

Compiler

Compiled 59288 to 25893 computations (56.3% saved)

prune774.0ms (5%)

Pruning

77 alts after pruning (71 fresh and 6 done)

PrunedKeptTotal
New1905221927
Fresh84957
Picked011
Done358
Total1916771993
Error
0.05%
Counts
1993 → 77
Alt Table
Click to see full alt table
StatusErrorProgram
0.57%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
0.58%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.67%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
1.17%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
0.62%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.65%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
45.68%
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
50.17%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
28.87%
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
87.49%
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
73%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
51%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
37.65%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
81.6%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
61.51%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
75.64%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
95.55%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
59.74%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
59.44%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
59.55%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
62.23%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
58.52%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.32%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
59.16%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
68.86%
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
68.62%
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
45.95%
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
35.38%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
94.57%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
62.02%
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
58.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
58.98%
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
59.07%
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
58.96%
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
61.28%
(-.f64 (sin.f64 (+.f64 x eps)) x)
59.05%
(-.f64 (sin.f64 eps) (sin.f64 x))
58.41%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
68.68%
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
75.84%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
59.12%
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
68.67%
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
68.55%
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
45.06%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.63%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
35.42%
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
0.64%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
22.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
0.76%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
25.86%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.69%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
59.17%
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
59.28%
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
42.08%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
72.71%
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
72.79%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
68.77%
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
45.91%
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
59.3%
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
59.44%
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
59.43%
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
46.53%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
63.62%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
74.47%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
63.72%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
76.54%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
82.54%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
74.19%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 eps (+.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
81.33%
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (fma.f64 x 2 (neg.f64 eps)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
60.22%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
23.31%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
43.37%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
49.97%
(*.f64 (cos.f64 x) eps)
43.21%
(sin.f64 eps)
6.16%
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
69.83%
eps
Compiler

Compiled 2916 to 1944 computations (33.3% saved)

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.29%
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
0.4%
(pow.f64 (sin.f64 eps) 2)
0.42%
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
0.78%
(-.f64 -1 (cos.f64 eps))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series9.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
4.0ms
x
@0
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
1.0ms
x
@-inf
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
1.0ms
x
@inf
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
1.0ms
x
@inf
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
1.0ms
x
@0
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))

rewrite97.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1316×associate-/r/
848×associate-/l/
550×distribute-rgt-in
512×distribute-lft-in
490×distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01469
130453
2408753
Stop Event
node limit
Counts
3 → 220
Calls
Call 1
Inputs
(-.f64 -1 (cos.f64 eps))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule 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simplify105.0ms (0.7%)

Algorithm
egg-herbie
Rules
1526×associate-*r*
1174×associate-/l*
1088×associate-*l*
986×associate-/r*
936×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
065410778
1207210596
Stop Event
node limit
Counts
280 → 374
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
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(-.f64 (/.f64 -1 (sin.f64 x)) (/.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))) 1)
(*.f64 -1 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(*.f64 (-.f64 -1 (cos.f64 eps)) (/.f64 1 (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)
(*.f64 1 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
(*.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (/.f64 1 (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (/.f64 1 (sin.f64 x))))
(*.f64 (/.f64 1 (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 -1 (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) 1) (/.f64 -1 (sin.f64 x)))
(*.f64 (/.f64 1 (sqrt.f64 (sin.f64 x))) (/.f64 (-.f64 -1 (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (-.f64 -1 (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))) (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2)) (neg.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) 1) (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (/.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (cbrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) 1) (/.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (sqrt.f64 (sin.f64 x))) (/.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps)) (/.f64 (-.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) -1) (neg.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (-.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps)))))) (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 1 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 1 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (sin.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (sin.f64 eps)) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 eps)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) 1) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 eps) 4))) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (sin.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (-.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) 1))))
(*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))) (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) -1)
(neg.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 3))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (*.f64 eps eps) (*.f64 -1/24 (pow.f64 eps 4))) -2)
(+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (fma.f64 1/2 (*.f64 eps eps) -2))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (*.f64 eps eps) -2))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96)))) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/630 (sin.f64 x)) (+.f64 (*.f64 1/48 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))) (*.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4)))) (fma.f64 -1 (*.f64 (-.f64 (*.f64 (sin.f64 x) -1/630) (fma.f64 1/48 (*.f64 (sin.f64 x) -1/24) (fma.f64 -1/4 (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) -1/24) -1/4))) (*.f64 (sin.f64 x) -1/2880)))) (pow.f64 eps 8)) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 -1 (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96)))) (fma.f64 -1 (*.f64 (-.f64 (-.f64 (*.f64 (sin.f64 x) -1/630) (*.f64 (sin.f64 x) -1/1152)) (fma.f64 -1/4 (-.f64 (*.f64 (sin.f64 x) 1/45) (fma.f64 1/96 (sin.f64 x) (*.f64 (sin.f64 x) 1/96))) (*.f64 (sin.f64 x) -1/2880))) (pow.f64 eps 8)) (fma.f64 -1 (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (sin.f64 x))))
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(/.f64 (*.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (-.f64 1 (*.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))))
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (cos.f64 eps))) (/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (+.f64 -1 (cos.f64 eps)) (+.f64 -1 (cos.f64 eps)))))))
(*.f64 (/.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (sin.f64 x))) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) 3))) (+.f64 1 (*.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) 1))))
(*.f64 (+.f64 1 (*.f64 (cos.f64 eps) (*.f64 (+.f64 -1 (cos.f64 eps)) (fma.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)) -1)))) (/.f64 (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 1 (pow.f64 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))) 3))))
(*.f64 (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (cos.f64 (-.f64 x x)) (cos.f64 (+.f64 x x)))) 2)
(*.f64 2 (/.f64 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x)))))
(/.f64 (*.f64 2 (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 (cos.f64 0) (cos.f64 (+.f64 x x))))
(*.f64 (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (neg.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(neg.f64 (*.f64 (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (sqrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))) (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (*.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))) (neg.f64 (cbrt.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))) (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2))) (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 1)
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(pow.f64 (sqrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 2)
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(pow.f64 (cbrt.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 3)
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(pow.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 3) 1/3)
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(pow.f64 (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) -1)
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(neg.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(sqrt.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(cbrt.f64 (pow.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x)) 3))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(cbrt.f64 (/.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(expm1.f64 (log1p.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(exp.f64 (log.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) 1))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))
(log1p.f64 (expm1.f64 (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.24%
(*.f64 x (*.f64 eps x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 x (*.f64 eps x))
0.0ms
eps
@-inf
(*.f64 x (*.f64 eps x))
0.0ms
x
@inf
(*.f64 x (*.f64 eps x))
0.0ms
x
@-inf
(*.f64 x (*.f64 eps x))
0.0ms
eps
@inf
(*.f64 x (*.f64 eps x))

rewrite52.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
1140×add-sqr-sqrt
1130×*-un-lft-identity
1062×pow1
1042×add-cube-cbrt
1022×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0613
111813
2142413
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))))))

simplify54.0ms (0.4%)

Algorithm
egg-herbie
Rules
890×distribute-rgt-in
890×distribute-lft-in
846×associate-*r*
836×log-prod
768×*-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
034455
186455
2331455
32227455
46463455
Stop Event
node limit
Counts
35 → 13
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)
(pow.f64 (*.f64 x (*.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x eps))) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x eps)) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x eps))) 2)
(*.f64 eps (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x eps))) 3)
(*.f64 eps (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 2))
(*.f64 eps (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x eps)))
(*.f64 eps (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x eps)) 3))
(*.f64 eps (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x eps))))
(*.f64 eps (*.f64 x x))

localize31.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
0.02%
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))
4.76%
(+.f64 x (-.f64 eps x))
5.37%
(-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))
Compiler

Compiled 98 to 25 computations (74.5% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
x
@0
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))
0.0ms
x
@0
(sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
0.0ms
x
@inf
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))
0.0ms
x
@-inf
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))
0.0ms
eps
@0
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))

rewrite93.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1090×associate-+l+
612×+-commutative
556×associate-+l-
494×associate-+r+
410×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01592
136872
2596660
Stop Event
node limit
Counts
2 → 60
Calls
Call 1
Inputs
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x))
(sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))) (-.f64 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x) 1/2)) (cos.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))) x) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x) 1/2)) (cos.f64 (/.f64 (-.f64 x (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (fma.f64 1/2 (-.f64 eps 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simplify87.0ms (0.6%)

Algorithm
egg-herbie
Rules
848×+-commutative
844×distribute-lft-in
794×distribute-rgt-in
736×unswap-sqr
706×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01623504
13573460
214433296
365703296
Stop Event
node limit
Counts
108 → 94
Calls
Call 1
Inputs
0
0
0
0
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(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2)) (-.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))
(fma.f64 1 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))) 1)
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
Outputs
0
0
0
0
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 0 (sin.f64 x))
(*.f64 -1 x)
(neg.f64 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(fma.f64 1/6 (pow.f64 x 3) (neg.f64 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/120 (pow.f64 x 5))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1/120 (pow.f64 x 5) (neg.f64 x)))
(-.f64 (fma.f64 1/6 (pow.f64 x 3) (*.f64 -1/120 (pow.f64 x 5))) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 1/5040 (pow.f64 x 7)) (+.f64 (*.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 -1 x (*.f64 -1/120 (pow.f64 x 5)))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 1/5040 (pow.f64 x 7) (fma.f64 -1/120 (pow.f64 x 5) (neg.f64 x))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/120 (pow.f64 x 5) (*.f64 1/5040 (pow.f64 x 7))) x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (neg.f64 x))
(neg.f64 (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))) (-.f64 1 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))) 1)
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(-.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))) 1)
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)) 1)
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 2))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 x))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x) 1/2)) (cos.f64 (*.f64 (-.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))) x) 1/2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x))) (cos.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) (neg.f64 x))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x))) (*.f64 2 (cos.f64 (*.f64 1/2 (-.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))) x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)) x))) (*.f64 2 (cos.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 x 2 eps)) (neg.f64 x))))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x) 1/2)) (cos.f64 (/.f64 (-.f64 x (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x))) (cos.f64 (/.f64 (+.f64 x (*.f64 -1/2 (-.f64 eps (fma.f64 2 x eps)))) 2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 1/2 (-.f64 eps (fma.f64 2 x eps)) x))) (cos.f64 (-.f64 (/.f64 x 2) (/.f64 (-.f64 eps (fma.f64 2 x eps)) 4)))))
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(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 1)
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 2)
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 3)
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3) 1/3)
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 2))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) 3))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))) 1))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps))))
(sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 x 2 eps))))

localize66.0ms (0.4%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.03%
(+.f64 x (+.f64 x eps))
0.42%
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
5.63%
(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
Compiler

Compiled 70 to 33 computations (52.9% saved)

series5.0ms (0%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
1.0ms
x
@0
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms
eps
@inf
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms
eps
@-inf
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms
x
@inf
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
1.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))

rewrite97.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1552×associate-*r/
1170×associate-*l/
416×associate-+l+
326×add-sqr-sqrt
318×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01443
130539
2423839
Stop Event
node limit
Counts
1 → 27
Calls
Call 1
Inputs
(*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) 1) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2)) (cbrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) 1/2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))))))

simplify112.0ms (0.7%)

Algorithm
egg-herbie
Rules
1396×associate-*r*
1218×associate-*l*
818×associate-+r+
754×fma-def
672×associate-+l+
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01553393
13973013
211822167
351722109
Stop Event
node limit
Counts
51 → 83
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (pow.f64 x 3)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))))
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))) 2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) -2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) -2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))) (cbrt.f64 2))
(/.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))) 1) 2)
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) 1/2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x))))) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))) (*.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 x x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 eps (+.f64 x x))))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
Outputs
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 eps (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (sin.f64 x)) -1/2)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))))))
(fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (sin.f64 x))) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))))
(fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))))
(fma.f64 eps (*.f64 -1/2 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps)))) (*.f64 (*.f64 (fma.f64 -1/8 (*.f64 eps eps) 1) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (+.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/8)))) (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (+.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))))))
(fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (sin.f64 x))) (fma.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (fma.f64 1/48 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (sin.f64 x)) (pow.f64 eps 3)) (*.f64 -1/8 (*.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))))))
(+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 eps (sin.f64 x))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 eps eps)) 1) (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))) (*.f64 (*.f64 (*.f64 1/48 (pow.f64 eps 3)) (sin.f64 x)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 1/48 (pow.f64 eps 3))))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/8))) (*.f64 eps (*.f64 -1/2 (sin.f64 x))))))
(+.f64 (*.f64 (*.f64 (fma.f64 (*.f64 eps -1/8) eps 1) (cos.f64 x)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 eps -1/2) (*.f64 1/48 (pow.f64 eps 3)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 eps)))
(*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (neg.f64 (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (sin.f64 (*.f64 1/2 eps)))))
(-.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 eps))) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))))
(+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x))))))
(fma.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 eps)))) -1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 x (sin.f64 (*.f64 1/2 eps))))))
(fma.f64 -1/2 (*.f64 x (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (cos.f64 (*.f64 1/2 eps))))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (+.f64 (neg.f64 (sin.f64 (*.f64 1/2 eps))) (*.f64 (*.f64 x (cos.f64 (*.f64 1/2 eps))) -1/2)))))
(+.f64 (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (pow.f64 x 3)))) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (+.f64 (*.f64 -1 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) x))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))))
(fma.f64 1/6 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (pow.f64 x 3)) (sin.f64 (*.f64 1/2 eps))) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (fma.f64 -1 (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 (fabs.f64 eps)))) (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x x)))))))
(fma.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))) (fma.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 (*.f64 x (*.f64 x (cos.f64 (*.f64 1/2 eps)))) -1/2)) (*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (*.f64 x (sin.f64 (*.f64 1/2 eps)))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps))))) (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 -1/2 (*.f64 x x))) (*.f64 1/6 (*.f64 (pow.f64 x 3) (sin.f64 (*.f64 1/2 eps)))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (-.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (*.f64 x x) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) -1/2) (*.f64 (*.f64 x (sin.f64 (*.f64 1/2 eps))) 1/6)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(*.f64 (cos.f64 (*.f64 1/2 (-.f64 eps (*.f64 -2 x)))) (sin.f64 (*.f64 1/2 (fabs.f64 eps))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
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(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 1))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fabs.f64 eps))) (cos.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (fma.f64 1/2 eps x)))

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.18%
(*.f64 (sin.f64 eps) (cos.f64 x))
0.22%
(*.f64 (sin.f64 x) (cos.f64 eps))
0.22%
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
6.63%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
Compiler

Compiled 47 to 10 computations (78.7% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
0.0ms
x
@0
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
eps
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
x
@-inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
eps
@0
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
0.0ms
x
@inf
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))

rewrite119.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1702×associate-*r/
1450×associate-*l/
570×associate-+l+
354×+-commutative
322×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01372
129132
2424532
Stop Event
node limit
Counts
2 → 187
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
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x)))))))

simplify225.0ms (1.5%)

Algorithm
egg-herbie
Rules
1358×+-commutative
1296×associate-+l-
1150×associate-+r-
804×fma-def
586×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
051413351
1136212731
2558412731
Stop Event
node limit
Counts
235 → 310
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (/.f64 1 (sin.f64 (-.f64 x eps)))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3)) (/.f64 1 (sin.f64 (-.f64 x eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.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))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (fma.f64 (*.f64 (*.f64 -1/2 eps) eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 4) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4)) (sin.f64 (-.f64 x eps))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3)) (/.f64 1 (sin.f64 (-.f64 x eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3)) (/.f64 (+.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 4) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4)) (*.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (/.f64 1 (sin.f64 (-.f64 x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 6) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 6)) (sin.f64 (-.f64 x eps))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 4) (fma.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 6) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 6)) (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 6) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 6)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3)) (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 6) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3)))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))))))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3)) (*.f64 (fma.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 6)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (sin.f64 (-.f64 eps x))) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval986.0ms (6.4%)

Compiler

Compiled 44480 to 21164 computations (52.4% saved)

prune582.0ms (3.8%)

Pruning

82 alts after pruning (73 fresh and 9 done)

PrunedKeptTotal
New1620171637
Fresh105666
Picked011
Done2810
Total1632821714
Error
0.04%
Counts
1714 → 82
Alt Table
Click to see full alt table
StatusErrorProgram
36.21%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
0.57%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
1.17%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps)))) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
0.58%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.67%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
0.62%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.65%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
45.68%
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
50.17%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
28.87%
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
87.49%
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
73%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
51%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
37.65%
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
98.17%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
61.51%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
75.64%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
59.74%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
95.54%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
59.44%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
95.52%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
59.55%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
95.37%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
62.23%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
96.75%
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
96.59%
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
58.52%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
95.83%
(/.f64 0 1)
35.32%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
59.16%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
68.86%
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
68.62%
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
45.95%
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
35.38%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
56.91%
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
94.57%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
58.4%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
59.07%
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
61.28%
(-.f64 (sin.f64 (+.f64 x eps)) x)
59.05%
(-.f64 (sin.f64 eps) (sin.f64 x))
58.41%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
68.68%
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
75.84%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
59.12%
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
68.55%
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
45.06%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.63%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
35.42%
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
0.64%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
22.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
0.76%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
25.86%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.69%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
59.17%
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
59.28%
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
42.08%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
72.71%
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
72.79%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
68.77%
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
45.91%
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
58.69%
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) 2)
24.76%
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3) 2)
59.3%
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
59.44%
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
59.43%
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
46.53%
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
74.47%
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
63.72%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
76.54%
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
60.4%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
62.64%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
69.46%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
69.17%
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
23.31%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
43.37%
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
46.7%
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
49.97%
(*.f64 (cos.f64 x) eps)
43.21%
(sin.f64 eps)
6.16%
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
69.83%
eps
Compiler

Compiled 1524 to 1032 computations (32.3% saved)

regimes185.0ms (1.2%)

Counts
115 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3) 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps)))) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 eps (+.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (/.f64 (sqrt.f64 (*.f64 eps (fma.f64 x 2 (neg.f64 eps)))) (fma.f64 x 2 (neg.f64 eps)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(-.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 4) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 4)) (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.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)))))) (sin.f64 x))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
Calls

3 calls:

57.0ms
eps
52.0ms
x
32.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.57%1x
0.57%1eps
0.57%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 2036 to 857 computations (57.9% saved)

regimes156.0ms (1%)

Counts
106 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3) 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps)))) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 eps (+.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
Calls

3 calls:

46.0ms
eps
45.0ms
x
30.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.58%1x
0.58%1eps
0.58%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1727 to 753 computations (56.4% saved)

regimes209.0ms (1.4%)

Counts
105 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3) 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 2)
(+.f64 1 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 1 (sin.f64 x)))))
(-.f64 (+.f64 (+.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps)))) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (neg.f64 (-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 eps x) 3))) (fma.f64 x x (*.f64 eps (+.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

85.0ms
eps
64.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.62%1x
0.62%1eps
0.62%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1710 to 746 computations (56.4% saved)

regimes121.0ms (0.8%)

Counts
81 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 3) 2)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))) 2) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 (*.f64 (fma.f64 x 2 eps) eps) (fma.f64 x 2 eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

35.0ms
eps
33.0ms
x
24.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.63%1x
0.63%1eps
0.63%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1314 to 594 computations (54.8% saved)

regimes111.0ms (0.7%)

Counts
76 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
Calls

3 calls:

35.0ms
eps
32.0ms
x
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
22.16%1x
22.16%1eps
22.16%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1223 to 543 computations (55.6% saved)

regimes108.0ms (0.7%)

Counts
74 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 x)) 1)
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 eps)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 (-.f64 eps x) (+.f64 x x)) (neg.f64 eps))))) (sin.f64 x)) 1)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 0 (neg.f64 (*.f64 (*.f64 x x) 4))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (/.f64 (*.f64 eps eps) (+.f64 x eps)) (-.f64 (/.f64 x (/.f64 (+.f64 x eps) x)) x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 (neg.f64 (+.f64 x eps)) (+.f64 eps 0))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))) 2) 2)
(*.f64 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))))))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (/.f64 1 (/.f64 1 (+.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(*.f64 (/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps))))) (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps x) (+.f64 x (+.f64 x eps)))))) 2))))) 2)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (fabs.f64 (sin.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 x)) 2)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 1/2 eps))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (fabs.f64 eps) 1/2)) (cos.f64 (*.f64 (/.f64 1 (/.f64 1 (+.f64 x (+.f64 x eps)))) 1/2))) 2)
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (+.f64 x eps) 2)) (/.f64 1 (-.f64 x (+.f64 x eps)))) 1/2))) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 (neg.f64 x) (+.f64 eps (-.f64 x (fma.f64 2 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (/.f64 1 (-.f64 x (-.f64 eps x)))) (+.f64 (+.f64 x x) eps))))) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 x)) 1)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps x) 2)) (+.f64 x (-.f64 x eps))) (*.f64 (+.f64 x (-.f64 x eps)) (-.f64 (+.f64 x x) (*.f64 eps eps)))) (*.f64 (+.f64 x (-.f64 x eps)) (+.f64 x (-.f64 x eps)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 (+.f64 x x) eps))))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (expm1.f64 (log.f64 (+.f64 1 (sin.f64 eps)))) (sin.f64 x))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (log.f64 (exp.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (pow.f64 (sin.f64 x) 3)))
(-.f64 (sin.f64 (+.f64 x eps)) (pow.f64 (cbrt.f64 (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
Calls

3 calls:

32.0ms
eps
31.0ms
x
18.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
23.31%1x
23.31%1eps
23.31%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1201 to 538 computations (55.2% saved)

regimes83.0ms (0.5%)

Counts
23 → 3
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) 2)
(+.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (sin.f64 x) 1)))
(+.f64 (sin.f64 (+.f64 x eps)) (-.f64 1 (+.f64 (sin.f64 x) 1)))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) 1) (sin.f64 x))
(-.f64 (-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 2) 2) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) 1)) -1)
(-.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 x)) 2)
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Calls

3 calls:

30.0ms
eps
29.0ms
x
19.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
24.06%3x
22.7%3eps
22.55%3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 204 to 107 computations (47.5% saved)

bsearch0.0ms (0%)

Algorithm
left-value
Steps
TimeLeftRight
0.0ms
7.526541275760622e-131
1.9345196075364118e-95
0.0ms
-7.44521145771492e-6
-1.6084925662855072e-15
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes50.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

18.0ms
eps
17.0ms
x
12.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
25.2%3x
22.77%3eps
23.06%3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 83 to 43 computations (48.2% saved)

bsearch71.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.8547660930862082e-10
0.08066156161477808
32.0ms
-61.76230383362546
-0.009275894920378303
Results
29.0ms72×body1024valid
23.0ms156×body256valid
10.0ms35×body512valid
6.0msbody2048valid
Compiler

Compiled 269 to 197 computations (26.8% saved)

regimes33.0ms (0.2%)

Counts
9 → 3
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(/.f64 (+.f64 (neg.f64 x) (sin.f64 x)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

16.0ms
eps
15.0ms
x
Results
ErrorSegmentsBranch
25.2%3x
23.58%3eps
Compiler

Compiled 57 to 34 computations (40.4% saved)

bsearch65.0ms (0.4%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
35.0ms
1.8547660930862082e-10
0.08066156161477808
30.0ms
-61.76230383362546
-0.009275894920378303
Results
26.0ms176×body256valid
23.0ms58×body1024valid
9.0ms31×body512valid
5.0msbody2048valid
Compiler

Compiled 218 to 163 computations (25.2% saved)

regimes11.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
Outputs
(sin.f64 eps)
Calls

2 calls:

6.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
43.21%1x
43.21%1eps
Compiler

Compiled 32 to 20 computations (37.5% saved)

regimes8.0ms (0.1%)

Accuracy

Total -17.8b remaining (-39.8%)

Threshold costs -17.8b (-39.8%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(/.f64 0 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
Outputs
eps
Calls

2 calls:

4.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
69.83%1x
69.83%1eps
Compiler

Compiled 30 to 19 computations (36.7% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×*-commutative
22×+-commutative
12×sub-neg
if-if-or-not
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064473
197473
2106473
3110473
4112473
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5902958103587057/1180591620717411303424) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -5476377146882523/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/2361183241434822606848) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -5476377146882523/576460752303423488) (sin.f64 eps) (if (<=.f64 eps 5072854620270127/9223372036854775808) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))) 2)
(*.f64 2 (*.f64 (sin.f64 (*.f64 eps 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) -5902958103587057/1180591620717411303424) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (if (<=.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704) (*.f64 (*.f64 (cos.f64 x) (sin.f64 (*.f64 1/2 eps))) 2) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (or (<=.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) -5902958103587057/1180591620717411303424) (not (<=.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1248699420126397/12486994201263968925526388919172665222994392570659884603436627838501486955279062480481224412253967884639307724485626491581791902717153141225160704))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 2 (*.f64 (cos.f64 x) (sin.f64 (*.f64 eps 1/2)))))
(if (<=.f64 eps -5476377146882523/576460752303423488) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/2361183241434822606848) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -5476377146882523/576460752303423488) (not (<=.f64 eps 8500259669165361/2361183241434822606848))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -5476377146882523/576460752303423488) (sin.f64 eps) (if (<=.f64 eps 5072854620270127/9223372036854775808) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -5476377146882523/576460752303423488) (sin.f64 eps) (if (<=.f64 eps 5072854620270127/9223372036854775808) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 181 to 119 computations (34.3% saved)

soundness163.0ms (1.1%)

Algorithm
egg-herbie
Rules
1538×associate-/l*
1448×associate-*l*
1132×+-commutative
1068×associate-/r*
1012×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
047510109
113359671
270759671
081314451
1248914109
Stop Event
node limit
node limit
Compiler

Compiled 313 to 116 computations (62.9% saved)

end84.0ms (0.5%)

Compiler

Compiled 161 to 74 computations (54% saved)

Profiling

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