Details

Time bar (total: 14.4s)

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)

sample4.4s (30.4%)

Results
2.2s3635×body1024valid
1.3s1256×body2048valid
450.0ms1401×body512valid
373.0ms1959×body256valid
7.0msbody4096valid
Bogosity

preprocess16.0ms (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)

simplify20.0ms (0.1%)

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
36.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
36.9b
(-.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 2 expressions with local error:

NewErrorProgram
0.7b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.4b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
1.0ms
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))

rewrite97.0ms (0.7%)

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
0932
121132
2310832
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (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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(+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(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 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)))))))

simplify181.0ms (1.3%)

Algorithm
egg-herbie
Rules
1274×associate-+l-
1088×associate-+r-
784×fma-def
734×associate--r+
546×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044010534
1126510192
2576910192
Stop Event
node limit
Counts
200 → 274
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))
(+.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))))
(/.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))
(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))
(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 (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))))
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(/.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)))
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))
(+.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 -1/2 (*.f64 (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 -1/2 (*.f64 (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 -1/2 (*.f64 (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))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (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))
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(/.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 x (+.f64 eps x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 eps x)))))) 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps 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 x (+.f64 eps x)))) (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))

eval110.0ms (0.8%)

Compiler

Compiled 6859 to 2143 computations (68.8% saved)

prune137.0ms (1%)

Pruning

34 alts after pruning (33 fresh and 1 done)

PrunedKeptTotal
New24133274
Fresh000
Picked011
Done000
Total24134275
Error
0.2b
Counts
275 → 34
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
31.9b
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
50.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
37.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
22.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
37.6b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
23.8b
(-.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)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x))
23.9b
(-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.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))
44.4b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
22.0b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
53.2b
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
38.3b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
36.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
44.4b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
49.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
40.4b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
40.7b
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
22.7b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
40.7b
(+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
22.1b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.7b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
22.0b
(+.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)))
40.5b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
22.7b
(+.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))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
31.4b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
31.9b
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
37.3b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
14.8b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
31.7b
(*.f64 (cos.f64 x) eps)
44.2b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.3b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 1165 to 712 computations (38.9% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
1.8b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

15 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
(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)))
0.0ms
x
@0
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))

rewrite104.0ms (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
01469
128769
2353269
Stop Event
node limit
Counts
3 → 186
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))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (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 -1 (+.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 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 (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 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(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)))))))

simplify130.0ms (0.9%)

Algorithm
egg-herbie
Rules
1110×associate-+l+
1036×associate-+r+
746×associate-*r*
720×+-commutative
686×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050310294
1134510134
2605210122
Stop Event
node limit
Counts
246 → 309
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))
(-.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)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (neg.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 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (cos.f64 eps)) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (/.f64 1 (+.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 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps)))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.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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(/.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)))
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 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.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 (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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (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 -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 (sin.f64 eps) (*.f64 x x)) (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 -1/6 (cos.f64 eps)))))
(+.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 (*.f64 1/120 (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 (*.f64 1/120 (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 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(+.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 (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))))
(+.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 (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))))))
(fma.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x)) (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)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 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 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/40320 (pow.f64 eps 8)))))
(*.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 (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)
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(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x))
(/.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 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (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 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.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 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(/.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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (fma.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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))))))
(/.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 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.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))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (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 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1)))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.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 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(/.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))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 (cos.f64 eps) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(*.f64 (sin.f64 x) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

localize7.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.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
@inf
(*.f64 (cos.f64 x) eps)
0.0ms
eps
@0
(*.f64 (cos.f64 x) eps)
0.0ms
x
@0
(*.f64 (cos.f64 x) eps)
0.0ms
x
@-inf
(*.f64 (cos.f64 x) eps)
0.0ms
x
@inf
(*.f64 (cos.f64 x) eps)

rewrite94.0ms (0.7%)

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)))))))

simplify317.0ms (2.2%)

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))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
0.1b
(*.f64 (cos.f64 x) eps)
2.1b
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
Compiler

Compiled 29 to 7 computations (75.9% saved)

series1.0ms (0%)

Counts
2 → 35
Calls

12 calls:

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

rewrite119.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1076×*-commutative
886×associate-*r/
764×associate-*l/
718×distribute-lft-in
684×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01044
121930
2305928
Stop Event
node limit
Counts
2 → 211
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
Outputs
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simplify160.0ms (1.1%)

Algorithm
egg-herbie
Rules
968×+-commutative
834×fma-def
784×associate-/l*
724×associate-*r*
620×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053412272
1152011874
2782911874
Stop Event
node limit
Counts
246 → 313
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 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) x))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) x)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(sin.f64 x)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) 0)
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (+.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 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) 1))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) 1))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) 1))
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 2)) 1) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2)) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))) (+.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 (cos.f64 x) eps) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 (cos.f64 x) eps) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) 1) (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (fma.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))
(fma.f64 1 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 x) eps))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 x))
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 x (*.f64 x eps)) eps)
(+.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 x (*.f64 x eps)) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24)))
(+.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 x (*.f64 x eps)) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
eps
(+.f64 eps x)
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) x))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) x))
(+.f64 x (fma.f64 -1/2 (*.f64 x (*.f64 x eps)) eps))
(+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) x)))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) x)))
(fma.f64 -1/6 (pow.f64 x 3) (+.f64 x (fma.f64 -1/2 (*.f64 x (*.f64 x eps)) eps)))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(sin.f64 x)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) 0)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.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 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) 1))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) 1))
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) 1))
(*.f64 eps (cos.f64 x))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(*.f64 eps (cos.f64 x))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (+.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 eps (cos.f64 x))
(+.f64 0 (*.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (cos.f64 x) eps (sin.f64 x)))
(*.f64 eps (cos.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(*.f64 eps (cos.f64 x))
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(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 4) (+.f64 (pow.f64 (sin.f64 x) 4) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 6) (pow.f64 (sin.f64 x) 6)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x))) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 eps (cos.f64 x)) 2) (+.f64 (pow.f64 (sin.f64 x) 4) (pow.f64 (*.f64 eps (cos.f64 x)) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 (cos.f64 x) eps) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (*.f64 (cos.f64 x) eps) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 3) (pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 3)) (*.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))) (-.f64 (+.f64 (pow.f64 (sin.f64 x) 6) (pow.f64 (*.f64 eps (cos.f64 x)) 6)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)))))
(/.f64 (+.f64 (pow.f64 (pow.f64 (sin.f64 x) 3) 3) (pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 3)) (*.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (+.f64 (pow.f64 (sin.f64 x) 6) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 6) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) 1) (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 eps (cos.f64 x))))) (-.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (*.f64 eps (cos.f64 x)))) (-.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (sin.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps)))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) eps))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (*.f64 eps (cos.f64 x))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)))
(pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 1)
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 2)
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))) 3)
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 3) 1/3)
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) 2))
(fabs.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) 3))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 1 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))

localize20.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
0.7b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.4b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series19.0ms (0.1%)

Counts
2 → 40
Calls

12 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
3.0ms
eps
@-inf
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
2.0ms
x
@inf
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)

rewrite99.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1076×associate-*r/
958×distribute-lft-in
916×associate-*l/
350×associate-+l+
282×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127646
2360446
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
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)) 1))))) (#(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 (*.f64 (neg.f64 (sin.f64 x)) 1) (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 (*.f64 (neg.f64 (sin.f64 x)) 1) (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 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.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))) (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)) (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 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simplify177.0ms (1.2%)

Algorithm
egg-herbie
Rules
1478×associate-+r-
766×fma-def
748×associate-*r*
614×associate-*l*
530×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059615507
1168914899
2700814899
Stop Event
node limit
Counts
235 → 311
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
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(/.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 (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 (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 2 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))))) 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)) 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 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1) (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 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1) (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 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) 3) (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 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) 3) (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 (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 (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 (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)) 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 (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 (-.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 (+.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 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 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 eps (+.f64 x x)) 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))))))
(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 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 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(*.f64 1 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))
(*.f64 (pow.f64 2 1/3) (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 1/3))
(/.f64 (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 (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 1 (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 1 (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 1 1/3) (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 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) 1) (cbrt.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))) 1) (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 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (sin.f64 eps))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 (*.f64 2/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3))) (cbrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (*.f64 x x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1))) (*.f64 2/3 (*.f64 (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (-.f64 (cos.f64 eps) 1)))) x) (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3) (pow.f64 (-.f64 (cos.f64 eps) 1) 3))) (*.f64 2/3 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))))))) (*.f64 2/9 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (-.f64 (cos.f64 eps) 1)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9))))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9) (*.f64 (-.f64 (cos.f64 eps) 1) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 1 1/3))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))) (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2)))) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3))) (*.f64 1/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9) (pow.f64 (-.f64 (cos.f64 eps) 1) 2))))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (*.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) 1) x (fma.f64 (fma.f64 2/9 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (+.f64 (*.f64 1/3 (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))) (*.f64 2/9 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18))))) (*.f64 1/3 (*.f64 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)) (+.f64 (cos.f64 eps) -1)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (*.f64 1 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18)) (+.f64 (cos.f64 eps) -1)) x (fma.f64 (fma.f64 2/9 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (fma.f64 1/3 (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) 2/3)))) (fma.f64 1/3 (*.f64 (fma.f64 (*.f64 2/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3))) (cbrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (*.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (-.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 1/27 (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)) 2/3)))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18))) 2/9))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3)) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 (*.f64 2/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) -1/3))) (cbrt.f64 (/.f64 1 (sin.f64 eps))) (*.f64 1/9 (*.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 2/9)))) (*.f64 x x) (sin.f64 eps))))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
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(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.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)))
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(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (sin.f64 x) 1))
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(-.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 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (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 2 (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (*.f64 (+.f64 eps (-.f64 x 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 (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)))
(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))
(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 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 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (cbrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3) (pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(*.f64 (pow.f64 2 1/3) (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) 1/3))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))))
(*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps))))))
(/.f64 (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (*.f64 1 (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (*.f64 1 (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (*.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (pow.f64 1 1/3) (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) 1) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) 1) (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 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/6) 2)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))
(fabs.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log.f64 (exp.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/3))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

localize22.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
0.1b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1.8b
(+.f64 (cos.f64 eps) -1)
2.5b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
Compiler

Compiled 67 to 19 computations (71.6% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite135.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1190×associate-*r/
1120×associate-*l/
868×distribute-lft-in
288×associate-+l+
286×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01170
124534
2348330
Stop Event
node limit
Counts
2 → 266
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
Outputs
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simplify243.0ms (1.7%)

Algorithm
egg-herbie
Rules
864×+-commutative
834×associate-+l+
786×associate-+r+
602×associate-/l*
470×associate-+l-
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
045121496
1130820720
2560520720
Stop Event
node limit
Counts
314 → 255
Calls
Call 1
Inputs
(*.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))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 0) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 0) (-.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 0) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 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))
(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))))
(fma.f64 (sin.f64 eps) (cos.f64 x) 0)
(fma.f64 (cos.f64 x) (sin.f64 eps) 0)
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(fma.f64 1 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 0)
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (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))) 0)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sin.f64 x))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))
(*.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 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x))))
(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)))))
(+.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))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/5040 (pow.f64 eps 7)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.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))
(fma.f64 -1/2 (*.f64 x (*.f64 x (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)))
(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 (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))
(*.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 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x))))
(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)))))
(+.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))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/5040 (pow.f64 eps 7)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/5040 (pow.f64 eps 7)) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.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))
(fma.f64 -1/2 (*.f64 x (*.f64 x (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)))
(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 (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) (-.f64 1 (sin.f64 x)))
(+.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 1)
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))) (sin.f64 x)))
(+.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (+.f64 (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)))) (sin.f64 x))
(+.f64 (sin.f64 x) (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)))))
(-.f64 (/.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 2 (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 2 (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -2 (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) -2)))
(-.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) (-.f64 1 (sin.f64 x)))
(+.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (sin.f64 x)))
(+.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (-.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))))
(-.f64 (+.f64 (sin.f64 x) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(+.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (+.f64 (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)))) (sin.f64 x))
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(/.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -2 (sin.f64 x)))) (-.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))
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(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 0) (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))))))
(*.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2) (*.f64 (sin.f64 x) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 3))))
(*.f64 (fma.f64 (sin.f64 x) (-.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 2)) (/.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 3))))
(pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2)
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3)
(*.f64 (cos.f64 x) (sin.f64 eps))
(pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) (sin.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))
(fabs.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))
(*.f64 (cos.f64 x) (sin.f64 eps))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 1))
(*.f64 (cos.f64 x) (sin.f64 eps))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 (cos.f64 x) (sin.f64 eps) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 1 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))
(fma.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (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))) 0)
(*.f64 (cos.f64 x) (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 0 (sin.f64 x)))

eval981.0ms (6.8%)

Compiler

Compiled 53317 to 21213 computations (60.2% saved)

prune623.0ms (4.3%)

Pruning

57 alts after pruning (54 fresh and 3 done)

PrunedKeptTotal
New1716401756
Fresh141428
Picked101
Done235
Total1733571790
Error
0.0b
Counts
1790 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
22.0b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.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))))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
15.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.6b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
31.9b
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
48.0b
(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))
51.2b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
15.9b
(pow.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
50.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
49.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.7b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
37.5b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
32.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
29.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
31.8b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
22.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
38.3b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
44.1b
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
54.5b
(-.f64 (+.f64 eps x) (sin.f64 x))
60.3b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
36.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
44.4b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
49.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
32.1b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
40.4b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
22.1b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.7b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.5b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
31.9b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
0.7b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
27.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
29.4b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
0.6b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
21.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
37.3b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
47.9b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
1.7b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
32.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
32.4b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
49.0b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
40.6b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
14.8b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
31.7b
(*.f64 (cos.f64 x) eps)
28.8b
(sin.f64 eps)
29.3b
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
48.3b
(fabs.f64 (*.f64 eps (cos.f64 x)))
40.3b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
53.6b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
45.8b
eps
Compiler

Compiled 1564 to 1110 computations (29% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
0.2b
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
0.2b
(pow.f64 (sin.f64 eps) 2)
0.4b
(-.f64 -1 (cos.f64 eps))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series9.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

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

rewrite104.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1762×associate-*r/
1536×associate-/r*
1500×associate-*l/
360×add-sqr-sqrt
352×*-un-lft-identity
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
017112
135480
2446380
Stop Event
node limit
Counts
4 → 167
Calls
Call 1
Inputs
(-.f64 -1 (cos.f64 eps))
(pow.f64 (sin.f64 eps) 2)
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
Outputs
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simplify142.0ms (1%)

Algorithm
egg-herbie
Rules
1426×associate-/r/
772×+-commutative
718×associate-*r*
628×associate-*l*
618×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05109435
113768821
261338805
Stop Event
node limit
Counts
231 → 297
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)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.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))))
(*.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))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 (cos.f64 eps) 1)))
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(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (/.f64 -1 (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x))
(*.f64 (/.f64 -1 (+.f64 (cos.f64 eps) 1)) (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (sin.f64 x) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 x) 1) (+.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) 1) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) -1)
(neg.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 (cos.f64 eps) 1)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
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)
(fma.f64 1/2 (*.f64 eps eps) (fma.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)
(+.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 (fma.f64 1/2 (*.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6))))
(*.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))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(*.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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (neg.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (neg.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24)))))
(-.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x)))) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 17/1440) (*.f64 (sin.f64 x) 1/96))))
(-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (+.f64 (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x))) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 17/1440) (*.f64 (sin.f64 x) 1/96)))))
(+.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 (pow.f64 eps 8) (-.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))))) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (neg.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) -1/24))))))
(-.f64 (-.f64 (-.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (pow.f64 eps 4) (*.f64 -1/24 (sin.f64 x)))) (*.f64 (pow.f64 eps 8) (-.f64 (-.f64 (*.f64 (sin.f64 x) -1/630) (*.f64 (sin.f64 x) -1/1152)) (fma.f64 -1/4 (-.f64 (*.f64 (sin.f64 x) 17/1440) (*.f64 (sin.f64 x) 1/96)) (*.f64 (sin.f64 x) -1/2880))))) (*.f64 (pow.f64 eps 6) (-.f64 (*.f64 (sin.f64 x) 17/1440) (*.f64 (sin.f64 x) 1/96))))
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(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 3)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3) 1/3)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
7.3b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
954×*-commutative
808×unswap-sqr
582×swap-sqr
448×distribute-lft-in
444×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0938
119434
2258134
Stop Event
node limit
Counts
2 → 101
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 x (sqrt.f64 eps)) 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 log.f64 (+.f64 1 (expm1.f64 (*.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 cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 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))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (/.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 (*.f64 x 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simplify111.0ms (0.8%)

Algorithm
egg-herbie
Rules
1818×distribute-lft-in
1548×associate-/r*
1080×associate-*r/
830×associate-*l/
416×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02967205
17866851
232076851
Stop Event
node limit
Counts
149 → 183
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 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 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))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) (-.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (/.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (exp.f64 (log1p.f64 eps))) 1)
(*.f64 eps (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 eps (+.f64 (*.f64 (*.f64 x x) -1/2) 1))
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(expm1.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(exp.f64 (log.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(fma.f64 (*.f64 eps (*.f64 x x)) -1/2 eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 1 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2))) eps)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
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 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 eps (neg.f64 (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 eps (neg.f64 (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 eps (neg.f64 (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 eps (neg.f64 (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 eps (*.f64 x (*.f64 x -1/2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 eps (*.f64 x (*.f64 x -1/2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.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 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4))
(fabs.f64 (*.f64 eps (*.f64 x x)))
(fabs.f64 (*.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))
(log.f64 (+.f64 1 (expm1.f64 (*.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))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 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))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) 1)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) (-.f64 1 eps))
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) 1) eps)
(+.f64 eps (expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps (*.f64 x -1/2))))))
(+.f64 eps (expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2))))))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 x (*.f64 eps (*.f64 x -1/2)) (expm1.f64 (log1p.f64 eps)))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (/.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(-.f64 (/.f64 eps (/.f64 (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps 1/2)))) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) (/.f64 (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps 1/2)))) 1/4)))
(-.f64 (/.f64 (*.f64 eps eps) (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) (/.f64 (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps) 1/4)))
(-.f64 (/.f64 eps (/.f64 (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) (/.f64 (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps) 1/4)))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) 1) eps)
(+.f64 eps (expm1.f64 (log1p.f64 (*.f64 x (*.f64 eps (*.f64 x -1/2))))))
(+.f64 eps (expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2))))))
(-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (exp.f64 (log1p.f64 eps))) 1)
(+.f64 (-.f64 (exp.f64 (log1p.f64 eps)) 1) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 x (*.f64 eps (*.f64 x -1/2)) (expm1.f64 (log1p.f64 eps)))
(*.f64 eps (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 (*.f64 (*.f64 x x) -1/2) 1))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 1)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (/.f64 1 (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps 1/2))))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(*.f64 (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (/.f64 1 (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps 1/2))))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps))
(*.f64 (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(*.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
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(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 eps (*.f64 x -1/2)))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) eps)
0.6b
(cbrt.f64 (*.f64 (cos.f64 x) eps))
0.7b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
Compiler

Compiled 23 to 8 computations (65.2% saved)

series18.0ms (0.1%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
6.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
3.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
1.0ms
eps
@inf
(cbrt.f64 (*.f64 (cos.f64 x) eps))

rewrite105.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1654×add-sqr-sqrt
1624×*-un-lft-identity
1524×add-cube-cbrt
1504×add-cbrt-cube
172×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120326
2213826
Stop Event
node limit
Counts
2 → 57
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(cbrt.f64 (*.f64 (cos.f64 x) eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(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 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))))) (#(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 exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))))

simplify75.0ms (0.5%)

Algorithm
egg-herbie
Rules
1142×fma-def
882×*-commutative
802×distribute-lft-in
756×distribute-rgt-in
528×distribute-lft-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02011803
15501731
219211639
357851623
Stop Event
node limit
Counts
81 → 96
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(pow.f64 eps 1/3)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(*.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 1 (*.f64 (cos.f64 x) eps))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(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)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))) 1)
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
Outputs
(*.f64 eps (pow.f64 1 1/3))
eps
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 2/3 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps)))) (pow.f64 x 4) eps))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 eps -1/24) 2/3))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) eps))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps) (*.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (+.f64 (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 2/3 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps)))) (pow.f64 x 4) eps) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24))))) (+.f64 (*.f64 -1/9 (*.f64 eps -1/24)) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/9 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24))))))) (*.f64 (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 2/3 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps)))))) (cbrt.f64 eps))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 eps -1/24) 2/3))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) (fma.f64 (pow.f64 x 6) (fma.f64 1/3 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (fma.f64 (*.f64 eps -1/24) -1/9 (*.f64 (cbrt.f64 eps) (+.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 -1/9 eps) -1/24))) (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 (*.f64 eps -1/24) 2/3)))))))) eps)))
(fma.f64 (fma.f64 eps 1/18 (fma.f64 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps) (*.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 (*.f64 eps -1/24) -1/9) (*.f64 2/3 (*.f64 eps -23/2160))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 (*.f64 eps -1/24) -1/9))) eps)))
(fma.f64 (fma.f64 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 1/36 (cbrt.f64 (*.f64 eps eps)))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 (*.f64 eps -1/24) -1/9) (*.f64 2/3 (*.f64 eps -23/2160))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 (*.f64 eps -1/24) -1/9))) eps)))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(pow.f64 eps 1/3)
(cbrt.f64 eps)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (*.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps))) (cbrt.f64 eps))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (cbrt.f64 eps))
(*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps))
(*.f64 (cbrt.f64 eps) (+.f64 (*.f64 -1/6 (*.f64 x x)) 1))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4))))) (cbrt.f64 eps))
(+.f64 (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (cbrt.f64 eps)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 eps (*.f64 -1/24 (pow.f64 x 4))))))
(fma.f64 (*.f64 eps (*.f64 (pow.f64 x 4) -1/24)) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps)))
(fma.f64 (*.f64 eps (*.f64 (pow.f64 x 4) -1/24)) (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (cbrt.f64 eps) (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (pow.f64 x 6) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24)))))) (+.f64 (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4))))) (cbrt.f64 eps)))
(+.f64 (fma.f64 1/3 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 eps (*.f64 -1/24 (pow.f64 x 4)))) (*.f64 (cbrt.f64 eps) (*.f64 (*.f64 x x) -1/6))) (fma.f64 1/3 (*.f64 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (*.f64 (pow.f64 x 6) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (cbrt.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 x x)) 1) (cbrt.f64 eps)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (+.f64 (*.f64 eps (*.f64 (pow.f64 x 4) -1/24)) (*.f64 (pow.f64 x 6) (*.f64 eps -23/2160)))))
(+.f64 (*.f64 (cbrt.f64 eps) (+.f64 (*.f64 -1/6 (*.f64 x x)) 1)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (+.f64 (*.f64 (pow.f64 x 6) (*.f64 eps -23/2160)) (*.f64 eps (*.f64 (pow.f64 x 4) -1/24)))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(*.f64 1 (*.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 eps (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 eps (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (cos.f64 x))) (cbrt.f64 eps))
(*.f64 (cbrt.f64 (cos.f64 x)) (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 3))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) 3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.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 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(*.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))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))) 1)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 1 (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) (pow.f64 (*.f64 (cos.f64 x) eps) 1/6))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 2) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))
(*.f64 (cbrt.f64 eps) (cbrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/6) 2)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 1))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/3))
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (*.f64 eps (cos.f64 x)))

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
0.7b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
3.4b
(sin.f64 (+.f64 x eps))
6.7b
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
Compiler

Compiled 37 to 15 computations (59.5% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
eps
@inf
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
1.0ms
x
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
1.0ms
eps
@0
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms
eps
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
0.0ms
x
@-inf
(pow.f64 (sin.f64 (+.f64 x eps)) 3)

rewrite110.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
976×associate-*r/
958×distribute-rgt-in
920×distribute-lft-in
790×associate-*l/
266×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01249
127049
2337149
Stop Event
node limit
Counts
3 → 237
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(pow.f64 (sin.f64 (+.f64 x eps)) 3)
Outputs
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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
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simplify142.0ms (1%)

Algorithm
egg-herbie
Rules
1300×associate-*r*
1244×fma-def
1118×associate-*l*
682×*-commutative
614×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
069115565
1196115081
Stop Event
node limit
Counts
309 → 388
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)))
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 3) (-.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 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 3) (+.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)))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.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)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.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 (cos.f64 (-.f64 (+.f64 x eps) (+.f64 x eps))) (cos.f64 (*.f64 2 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) 2)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
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) (*.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 -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))
(+.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 -1/2 (*.f64 (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 -1/2 (*.f64 (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 -1/2 (*.f64 (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))
(pow.f64 (sin.f64 eps) 3)
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) (*.f64 2 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)))) x))
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 x (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3))
(+.f64 (pow.f64 (sin.f64 eps) 3) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) (*.f64 2 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)))) x) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps)) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (*.f64 2 (*.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))))) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (*.f64 2 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2))))))))
(+.f64 (fma.f64 x (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) (pow.f64 (sin.f64 eps) 3)) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (*.f64 2 (pow.f64 (cos.f64 eps) 2)))))))
(+.f64 (pow.f64 (sin.f64 eps) 3) (+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (cos.f64 eps) (sin.f64 eps)))) (sin.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) (*.f64 2 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)))) x) (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps)) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (*.f64 2 (*.f64 (pow.f64 (cos.f64 eps) 2) (sin.f64 eps))))) (pow.f64 x 2)))))
(+.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (fma.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 eps)) -4/3) (sin.f64 eps) (fma.f64 -1 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) (*.f64 (cos.f64 eps) (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))) (pow.f64 x 3) (fma.f64 (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) x (*.f64 (*.f64 x x) (fma.f64 (fma.f64 -1 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)) (sin.f64 eps) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (*.f64 2 (*.f64 (sin.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))))
(+.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (pow.f64 x 3) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) -4/3) (+.f64 (*.f64 (cos.f64 eps) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2)) -7/6))) (fma.f64 x (*.f64 3 (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 eps) 2))) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) (-.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (*.f64 (sin.f64 eps) (*.f64 2 (pow.f64 (cos.f64 eps) 2)))))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 3)
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(pow.f64 (sin.f64 x) 3)
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) eps) (pow.f64 (sin.f64 x) 3))
(fma.f64 (*.f64 3 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) eps (pow.f64 (sin.f64 x) 3))
(fma.f64 eps (*.f64 3 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) eps) (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))) (fma.f64 (*.f64 3 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) eps (pow.f64 (sin.f64 x) 3)))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 x) 3) (*.f64 (sin.f64 x) (+.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 2 (pow.f64 (cos.f64 x) 2))))) (fma.f64 eps (*.f64 3 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (pow.f64 (sin.f64 x) 3)))
(+.f64 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 -1 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1/3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (*.f64 (cos.f64 x) (sin.f64 x)))) (sin.f64 x)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))))))) (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 x) 3)) (+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1 (pow.f64 (sin.f64 x) 2)) (pow.f64 (cos.f64 x) 2))) (*.f64 2 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x)))))) (+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (*.f64 2 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))) eps) (pow.f64 (sin.f64 x) 3))))
(fma.f64 (pow.f64 eps 3) (fma.f64 (cos.f64 x) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (fma.f64 -1 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)) (fma.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) -4/3) (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2)))))) (fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (fma.f64 -1 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 2 (pow.f64 (cos.f64 x) 2)) (sin.f64 x)))) (fma.f64 (*.f64 3 (*.f64 (cos.f64 x) (pow.f64 (sin.f64 x) 2))) eps (pow.f64 (sin.f64 x) 3))))
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(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 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 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(/.f64 (*.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 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 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (+.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 (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 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.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)))))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 3) (-.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 (sin.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) 3) (+.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 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (+.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 (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 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.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)))))) (pow.f64 (sin.f64 (+.f64 eps 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)))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.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 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (/.f64 (+.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 (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 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.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)))))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 (+.f64 x eps) (+.f64 x eps))) (cos.f64 (*.f64 2 (+.f64 x eps)))) (sin.f64 (+.f64 x eps))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (*.f64 2 (+.f64 eps x)))) (/.f64 2 (sin.f64 (+.f64 eps x))))
(*.f64 (/.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 1 (cos.f64 (*.f64 2 (+.f64 eps x)))))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))) 1))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)))
(pow.f64 (sin.f64 (+.f64 eps x)) 3)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
2.3b
(-.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)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
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
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
eps
@-inf
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x)))

rewrite92.0ms (0.6%)

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
01372
127132
2356432
Stop Event
node limit
Counts
2 → 154
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)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(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 (-.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))) (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)) (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 (sin.f64 x)) 1 (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)) (+.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))))))) (#(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 (sin.f64 x)) 1 (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 (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 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simplify130.0ms (0.9%)

Algorithm
egg-herbie
Rules
1268×+-commutative
1190×associate-+l-
980×associate-+r-
796×fma-def
628×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
042110806
1116910380
2536510380
Stop Event
node limit
Counts
202 → 269
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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(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))) (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(/.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 x) (sin.f64 (+.f64 x eps))))) (+.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 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.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 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))))))
(/.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 x) (sin.f64 (+.f64 x eps))))) (+.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) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))))
(/.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 x) (sin.f64 (+.f64 x eps))) (+.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) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2))))) (-.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 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (neg.f64 (neg.f64 (pow.f64 (sin.f64 x) 2)))) 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 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps))))) (+.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 x) (sin.f64 (+.f64 x eps))))) (+.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) (+.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 x) (sin.f64 (+.f64 x eps))))))) (+.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 x) (sin.f64 (+.f64 x eps))))))) (+.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) (+.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 x) (sin.f64 (+.f64 x eps))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))
(/.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 x) (sin.f64 (+.f64 x eps))))))
(/.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 x) (sin.f64 (+.f64 x eps))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))
(/.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 x) (sin.f64 (+.f64 x eps)))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.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 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 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) 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))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
(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))))
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))
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(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
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(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
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(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
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(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
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(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
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(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)
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(*.f64 (sin.f64 (+.f64 x eps)) 1)
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(*.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 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
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(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 (-.f64 eps x)))))
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(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
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(sin.f64 (+.f64 eps x))
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(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))

eval437.0ms (3%)

Compiler

Compiled 34203 to 14592 computations (57.3% saved)

prune364.0ms (2.5%)

Pruning

63 alts after pruning (57 fresh and 6 done)

PrunedKeptTotal
New1320151335
Fresh74249
Picked011
Done257
Total1329631392
Error
0.0b
Counts
1392 → 63
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
22.0b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps)))))
15.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.6b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
31.9b
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
48.0b
(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))
51.2b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
33.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
50.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
49.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.7b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
60.3b
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
37.5b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
32.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
29.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
46.1b
(pow.f64 (cbrt.f64 eps) 3)
31.8b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
22.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
38.3b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
44.1b
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
54.5b
(-.f64 (+.f64 eps x) (sin.f64 x))
60.3b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
36.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
44.4b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
49.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
32.1b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
42.2b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 3)) (sin.f64 x))
40.1b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
22.1b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.7b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.5b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
31.9b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
0.7b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
27.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
29.4b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
0.6b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
21.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
37.3b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
47.9b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
1.7b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
32.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
32.4b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
47.9b
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
49.0b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
40.6b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
62.2b
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
14.8b
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
31.7b
(*.f64 (cos.f64 x) eps)
62.1b
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
14.7b
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
28.8b
(sin.f64 eps)
29.3b
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
48.3b
(fabs.f64 (*.f64 eps (cos.f64 x)))
40.3b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
53.6b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
45.8b
eps
Compiler

Compiled 1611 to 1153 computations (28.4% saved)

localize55.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
0.2b
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
0.2b
(pow.f64 (sin.f64 eps) 2)
0.4b
(+.f64 1 (cos.f64 eps))
Compiler

Compiled 81 to 40 computations (50.6% saved)

series2.0ms (0%)

Counts
3 → 20
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
0.0ms
eps
@0
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
0.0ms
x
@0
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
0.0ms
eps
@0
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
0.0ms
eps
@0
(+.f64 1 (cos.f64 eps))

rewrite78.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1570×associate-*r/
1482×associate-/r*
1344×associate-*l/
290×add-sqr-sqrt
282×*-un-lft-identity
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01469
128859
2367253
Stop Event
node limit
Counts
3 → 132
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 eps))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.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 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 eps)))))) (#(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 (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 egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 -1 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 4) (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (cos.f64 eps))))))) (#(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) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 1 (cos.f64 eps)))))) (#(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) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) 1)) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (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) (/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 eps))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) 1) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (-.f64 1 (cos.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (sqrt.f64 (-.f64 1 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simplify130.0ms (0.9%)

Algorithm
egg-herbie
Rules
1536×distribute-lft-in
896×times-frac
724×associate-/l*
550×associate-*r*
546×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04225806
110975494
258875494
Stop Event
node limit
Counts
152 → 240
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 (*.f64 x (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 -1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (+.f64 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))) (*.f64 -1/5040 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 1 (cos.f64 eps)))))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))) (pow.f64 eps 4)))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.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 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))) (pow.f64 eps 4))))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (+.f64 (*.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 (-.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 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))) (pow.f64 eps 4)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (*.f64 -1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(-.f64 (+.f64 1 (cos.f64 eps)) 0)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 eps)))) 1)
(-.f64 (+.f64 2 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 1 (cos.f64 eps)))
(*.f64 (+.f64 1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (-.f64 1 (cos.f64 eps))))
(*.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 1 (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (cos.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 4) (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (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 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (-.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 1 (cos.f64 eps)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) 1)) (-.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) 1)) (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (sin.f64 eps))) (sin.f64 eps))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) 1) (-.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (-.f64 1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 (-.f64 1 (cos.f64 eps))))) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(pow.f64 (+.f64 1 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (+.f64 1 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 eps))))
(exp.f64 (log1p.f64 (cos.f64 eps)))
(exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 eps))))
(fma.f64 1 (cos.f64 eps) 1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) 1)
(*.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (/.f64 -1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (/.f64 -1 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (/.f64 -1 (-.f64 -1 (cos.f64 eps)))))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) 1) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))) 1)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 1)
(pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
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(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))))
(*.f64 (/.f64 -1 (-.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 eps)))
(*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 1 (-.f64 -1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 eps)))
(*.f64 (/.f64 1 (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (sin.f64 eps) 2)) (-.f64 1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))) (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (cos.f64 eps) (-.f64 -1 (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (/.f64 (sin.f64 x) 1) (-.f64 1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sin.f64 x) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 1) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (+.f64 1 (cos.f64 eps))))
(/.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(/.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) 1) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) (+.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) (/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)))
(/.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2))) (/.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 2)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 3)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3) 1/3)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) -1)
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps))))
(*.f64 (sin.f64 x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 -1 (-.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (sin.f64 x))) (-.f64 -1 (cos.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 2))
(fabs.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))) 1))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (-.f64 1 (pow.f64 (cos.f64 eps) 6)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 (+.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (-.f64 1 (pow.f64 (cos.f64 eps) 6)))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 3)
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3) 1/3)
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 1))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
Compiler

Compiled 20 to 12 computations (40% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite83.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1562×add-sqr-sqrt
1546×*-un-lft-identity
1436×add-cube-cbrt
1410×add-cbrt-cube
1394×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0819
116319
2196219
Stop Event
node limit
Counts
1 → 12
Calls
Call 1
Inputs
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 -1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))))))

simplify42.0ms (0.3%)

Algorithm
egg-herbie
Rules
1266×distribute-rgt-in
1254×distribute-lft-in
1010×log-prod
940×associate-*r*
822×associate-*l*
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
039684
198684
2371684
32617684
Stop Event
node limit
Counts
36 → 15
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 1)
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 3)
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 -1/2 eps))))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
Outputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(pow.f64 (sqrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 2)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 3)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(pow.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3) 1/3)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(sqrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 2))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 -1/2 eps))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(cbrt.f64 (pow.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps))) 3))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 (*.f64 x x) -1/2))

localize75.0ms (0.5%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.6b
(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
0.7b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
3.3b
(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
3.4b
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x))))
Compiler

Compiled 148 to 30 computations (79.7% saved)

series4.0ms (0%)

Counts
4 → 96
Calls

24 calls:

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

rewrite58.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
594×add-sqr-sqrt
586×*-un-lft-identity
584×pow1
556×add-exp-log
556×add-cbrt-cube
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
021182
154786
Stop Event
node limit
Counts
4 → 93
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x))))
(-.f64 (-.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (+.f64 (neg.f64 x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (-.f64 (neg.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (neg.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 eps x) (*.f64 (neg.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (+.f64 eps x)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 eps) (+.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 eps (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 eps (+.f64 eps x))) (sqrt.f64 (-.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 eps (+.f64 eps x))) (cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2)) (cbrt.f64 (-.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (/.f64 1 (+.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 eps (+.f64 eps x)) (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x)))) (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (+.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (+.f64 eps x) (neg.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps x) 2)) (+.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) 0) (-.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (+.f64 eps x) (neg.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 eps x) 3)) (+.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 3) 0) (+.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) (+.f64 0 (*.f64 (-.f64 eps (+.f64 eps x)) 0))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) eps) (*.f64 (+.f64 eps x) (*.f64 eps eps))) (*.f64 eps (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (*.f64 (+.f64 eps x) (pow.f64 eps 3))) (*.f64 (+.f64 eps x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 x 3)) eps) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (*.f64 eps eps))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (pow.f64 eps 3))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps))) (neg.f64 (+.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 eps (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 eps (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 eps (+.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps (+.f64 eps x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) (cbrt.f64 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simplify119.0ms (0.8%)

Algorithm
egg-herbie
Rules
1878×associate-/l*
1736×associate-/r*
720×associate-+r-
708×*-commutative
664×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03305399
18733795
235823755
Stop Event
node limit
Counts
189 → 219
Calls
Call 1
Inputs
(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 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 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 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 x)
(*.f64 -3 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 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 (*.f64 -1 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 (*.f64 -1 x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))) (sin.f64 (*.f64 -1 x)))
(*.f64 -1 x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5))))
(+.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)))))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(sin.f64 (*.f64 -1 x))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(+.f64 eps (+.f64 (neg.f64 x) (neg.f64 eps)))
(+.f64 eps (-.f64 (neg.f64 x) eps))
(+.f64 eps (neg.f64 (+.f64 eps x)))
(+.f64 (+.f64 eps x) (neg.f64 eps))
(+.f64 (+.f64 eps x) (*.f64 (neg.f64 eps) 1))
(+.f64 (-.f64 eps (+.f64 eps x)) 0)
(+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))
(+.f64 (neg.f64 eps) (+.f64 eps x))
(*.f64 (-.f64 eps (+.f64 eps x)) 1)
(*.f64 1 (-.f64 eps (+.f64 eps x)))
(*.f64 (sqrt.f64 (-.f64 eps (+.f64 eps x))) (sqrt.f64 (-.f64 eps (+.f64 eps x))))
(*.f64 (cbrt.f64 (-.f64 eps (+.f64 eps x))) (cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2)))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2)) (cbrt.f64 (-.f64 eps (+.f64 eps x))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (/.f64 1 (+.f64 eps (+.f64 eps x))))
(*.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3)) (/.f64 1 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x))))))
(*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 eps)) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 eps)))
(/.f64 1 (/.f64 (+.f64 eps (+.f64 eps x)) (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x)))) (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (+.f64 eps (+.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 (neg.f64 eps) (neg.f64 eps))) (-.f64 (+.f64 eps x) (neg.f64 eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (+.f64 eps x) 2)) (+.f64 eps (+.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) 0) (-.f64 eps (+.f64 eps x)))
(/.f64 (+.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 (neg.f64 eps) 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (-.f64 (*.f64 (neg.f64 eps) (neg.f64 eps)) (*.f64 (+.f64 eps x) (neg.f64 eps)))))
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 (+.f64 eps x) 3)) (+.f64 (*.f64 eps eps) (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 3) 0) (+.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) (+.f64 0 (*.f64 (-.f64 eps (+.f64 eps x)) 0))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) eps) (*.f64 (+.f64 eps x) (*.f64 eps eps))) (*.f64 eps (+.f64 eps x)))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps)) (*.f64 (+.f64 eps x) (pow.f64 eps 3))) (*.f64 (+.f64 eps x) (*.f64 eps eps)))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 x 3)) eps) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (*.f64 eps eps))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) eps))
(/.f64 (-.f64 (*.f64 (-.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 eps eps)) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (pow.f64 eps 3))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (+.f64 eps x))) (*.f64 eps eps)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps eps))) (neg.f64 (+.f64 eps (+.f64 eps x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 eps 3))) (neg.f64 (+.f64 (pow.f64 (+.f64 eps x) 2) (*.f64 eps (+.f64 eps (+.f64 eps x))))))
(pow.f64 (-.f64 eps (+.f64 eps x)) 1)
(sqrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2))
(log.f64 (exp.f64 (-.f64 eps (+.f64 eps x))))
(cbrt.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (-.f64 eps (+.f64 eps x))))
(exp.f64 (log.f64 (-.f64 eps (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (-.f64 eps (+.f64 eps x))) 1))
(log1p.f64 (expm1.f64 (-.f64 eps (+.f64 eps x))))
(-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1)
(*.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2)) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2))) 2)
(*.f64 (*.f64 2 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2))) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (-.f64 eps eps) (+.f64 eps eps))) 1/2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))) (neg.f64 (-.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(cbrt.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 1)
(*.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps eps))))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 1)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(exp.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
Outputs
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (fma.f64 (cos.f64 x) eps (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 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(fma.f64 x (cos.f64 eps) (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 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (cos.f64 eps) (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))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (cos.f64 eps) (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 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 eps) (*.f64 -2 x))))
(sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 x eps))))
(sin.f64 (+.f64 eps (*.f64 x 1)))
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -1 (+.f64 (*.f64 2 x) x))
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
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(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3) (pow.f64 (sin.f64 0) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 0) 2) (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) 0) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) 0)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 3)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0)) 2))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
(cbrt.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 2)))
(cbrt.f64 (*.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0)) (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0)) 2)))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
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(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
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(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
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(+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 0))
(+.f64 (sin.f64 eps) 0)
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 1)
(sin.f64 0)
0
(*.f64 1 (sin.f64 (*.f64 1/2 (-.f64 eps eps))))
(sin.f64 0)
0
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(sin.f64 0)
0
(*.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2)))
(sin.f64 0)
0
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2)) (cbrt.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(sin.f64 0)
0
(pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 1)
(sin.f64 0)
0
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 2))
(sin.f64 0)
0
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(sin.f64 0)
0
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) 3))
(sin.f64 0)
0
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(sin.f64 0)
0
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(sin.f64 0)
0
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 (-.f64 eps eps)))) 1))
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(sin.f64 0)
0

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(exp.f64 (sin.f64 (+.f64 x eps)))
3.0b
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
3.4b
(sin.f64 (+.f64 x eps))
8.3b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
2.0ms
x
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@inf
(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
eps
@-inf
(exp.f64 (sin.f64 (+.f64 x eps)))

rewrite94.0ms (0.7%)

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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simplify149.0ms (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)))
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(+.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 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 (*.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 (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 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (+.f64 0 (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 2 (log.f64 (sqrt.f64 (exp.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))))
(/.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))))))))
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(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))))
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(-.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 (sin.f64 (+.f64 x eps)) 0)
(sin.f64 (+.f64 eps x))
(+.f64 (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.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 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (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 0 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)))
(+.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 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (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 0 (*.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 (+.f64 0 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.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 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2))) (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 0 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))) (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 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)))

localize24.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
2.3b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite153.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1642×associate-*r/
1432×associate-*l/
636×associate-+l+
360×+-commutative
322×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01385
129161
2424161
Stop Event
node limit
Counts
3 → 213
Calls
Call 1
Inputs
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
Outputs
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(sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))))))

simplify196.0ms (1.4%)

Algorithm
egg-herbie
Rules
964×fma-def
942×associate-+r-
868×associate-+l-
764×associate-*r*
744×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
063117451
1170816627
2702916623
Stop Event
node limit
Counts
285 → 375
Calls
Call 1
Inputs
(*.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))
(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 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))
(*.f64 -1 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
(sin.f64 eps)
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(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (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 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (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 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (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 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (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 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) 1) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2) (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2)) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
(/.f64 (*.f64 (-.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 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (-.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 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (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))) (neg.f64 (sin.f64 x)))
Outputs
(*.f64 (cos.f64 x) eps)
(+.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 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.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 (*.f64 eps eps) (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 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 (*.f64 eps eps) (sin.f64 x))))))
(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 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (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))) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))

eval587.0ms (4.1%)

Compiler

Compiled 36039 to 13462 computations (62.6% saved)

prune596.0ms (4.1%)

Pruning

79 alts after pruning (70 fresh and 9 done)

PrunedKeptTotal
New1286291315
Fresh114152
Picked011
Done2810
Total1299791378
Error
0.0b
Counts
1378 → 79
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
22.0b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
15.9b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.6b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
31.9b
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
48.0b
(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))
51.2b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
33.0b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
49.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.7b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
60.3b
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
37.5b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
32.4b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
29.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
46.1b
(pow.f64 (cbrt.f64 eps) 3)
31.8b
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
22.0b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
25.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
38.3b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
54.5b
(-.f64 (+.f64 eps x) (sin.f64 x))
60.3b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
62.0b
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
0.5b
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
36.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.0b
(-.f64 (sin.f64 eps) (sin.f64 x))
29.6b
(-.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
61.1b
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
49.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
32.1b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
42.2b
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 3)) (sin.f64 x))
40.1b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
22.1b
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
22.1b
(+.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (neg.f64 (sin.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
39.2b
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
43.1b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2))
22.1b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
35.9b
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
38.3b
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
29.7b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.7b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
27.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
29.4b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
0.6b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
21.9b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
0.5b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.8b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))))
0.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
0.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
28.0b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))))
0.6b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 3))))
51.5b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
60.7b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
37.5b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
37.4b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
38.4b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
37.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
37.2b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
59.0b
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
38.6b
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
47.9b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
37.9b
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
32.4b
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
32.4b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
47.9b
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
49.0b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
40.6b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
62.2b
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
14.8b
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
28.9b
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
31.7b
(*.f64 (cos.f64 x) eps)
62.1b
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
14.7b
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
28.8b
(sin.f64 eps)
46.8b
(fabs.f64 (+.f64 (sin.f64 eps) 0))
39.4b
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
53.6b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
45.8b
eps
Compiler

Compiled 1207 to 835 computations (30.8% saved)

regimes204.0ms (1.4%)

Counts
118 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
(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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.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)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 3)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))))
(-.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 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)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(pow.f64 (*.f64 (cbrt.f64 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cos.f64 (*.f64 1/2 (fma.f64 2 x eps)))))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(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)
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(-.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(+.f64 (-.f64 (+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (neg.f64 (sin.f64 x))) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.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 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (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 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (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 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.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 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.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 (-.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)))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
Calls

3 calls:

54.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
54.0ms
x
53.0ms
eps
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1734 to 659 computations (62% saved)

regimes226.0ms (1.6%)

Counts
97 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
(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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.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)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 3)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))))
(-.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 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)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
Calls

3 calls:

88.0ms
eps
45.0ms
x
32.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1237 to 499 computations (59.7% saved)

regimes297.0ms (2.1%)

Counts
96 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
(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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.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)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) 3)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (/.f64 (-.f64 1 (cos.f64 (+.f64 eps eps))) 2) (sin.f64 x)) (+.f64 1 (cos.f64 eps)))))
(-.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (expm1.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) 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)))
Outputs
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

81.0ms
x
79.0ms
eps
71.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1217 to 490 computations (59.7% saved)

regimes150.0ms (1%)

Counts
75 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
(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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.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)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (sin.f64 x) (/.f64 1 (/.f64 1 (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))) 3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

72.0ms
x
35.0ms
eps
23.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 895 to 388 computations (56.6% saved)

regimes143.0ms (1%)

Counts
68 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 x))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (-.f64 (*.f64 (pow.f64 x 3) 1/6) x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 x 0)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (-.f64 (neg.f64 x) eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 (-.f64 eps (+.f64 eps x)) (*.f64 -2 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps 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 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 eps) 0) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(+.f64 (-.f64 (sin.f64 eps) x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)) 3)
(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 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (pow.f64 (neg.f64 x) 3) (*.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(-.f64 (log.f64 (exp.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 3)
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cos.f64 x) (cbrt.f64 eps)))
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.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)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/3) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(-.f64 (+.f64 (neg.f64 (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)
Outputs
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
Calls

3 calls:

60.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms
eps
31.0ms
x
Results
ErrorSegmentsBranch
14.7b1x
14.7b1eps
14.7b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 793 to 343 computations (56.7% saved)

regimes70.0ms (0.5%)

Counts
22 → 1
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
Outputs
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
Calls

3 calls:

36.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
12.0ms
eps
11.0ms
x
Results
ErrorSegmentsBranch
14.8b1x
14.8b1eps
14.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 190 to 105 computations (44.7% saved)

regimes157.0ms (1.1%)

Counts
21 → 3
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
(-.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 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 (cos.f64 (*.f64 (*.f64 eps -2) 1/4)) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

69.0ms
x
44.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
39.0ms
eps
Results
ErrorSegmentsBranch
15.6b3x
14.3b3eps
14.8b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 175 to 94 computations (46.3% saved)

bsearch69.0ms (0.5%)

Algorithm
binary-search
Steps
TimeLeftRight
18.0ms
0.003027026044306126
0.0053483389690290595
50.0ms
-25352.13465501186
-0.2738247064686068
Results
28.0ms114×body256valid
25.0ms59×body1024valid
8.0ms30×body512valid
3.0msbody2048valid
Compiler

Compiled 209 to 153 computations (26.8% saved)

regimes59.0ms (0.4%)

Counts
16 → 3
Calls
Call 1
Inputs
eps
(*.f64 x (*.f64 eps (*.f64 x -1/2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 x (*.f64 x (*.f64 -1/2 eps)))) 1)
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 eps x) (sin.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 0 (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (neg.f64 x) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(pow.f64 (cbrt.f64 eps) 3)
(fabs.f64 (*.f64 eps (cos.f64 x)))
(fabs.f64 (+.f64 (sin.f64 eps) 0))
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

28.0ms
eps
28.0ms
x
Results
ErrorSegmentsBranch
15.9b3x
14.8b3eps
Compiler

Compiled 127 to 67 computations (47.2% saved)

bsearch59.0ms (0.4%)

Algorithm
binary-search
Steps
TimeLeftRight
17.0ms
0.003027026044306126
0.0053483389690290595
42.0ms
-25352.13465501186
-0.2738247064686068
Results
22.0ms125×body256valid
22.0ms52×body1024valid
10.0ms27×body512valid
3.0msbody2048valid
Compiler

Compiled 170 to 127 computations (25.3% saved)

regimes13.0ms (0.1%)

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

2 calls:

6.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
28.8b1x
28.8b1eps
Compiler

Compiled 54 to 32 computations (40.7% saved)

regimes12.0ms (0.1%)

Accuracy

Total -16.8b remaining (-36.8%)

Threshold costs -16.8b (-36.8%)

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

2 calls:

6.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
45.8b1x
45.8b1eps
Compiler

Compiled 52 to 31 computations (40.4% saved)

simplify15.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×+-commutative
30×*-commutative
12×neg-sub0
10×sub-neg
distribute-lft-neg-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
061386
195378
2110378
3125378
4134378
5137378
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (sin.f64 eps) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps)))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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) (+.f64 -1 (cos.f64 eps))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2))))
(*.f64 2 (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (sin.f64 (/.f64 eps 2))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) (*.f64 2 (sin.f64 (/.f64 eps 2))))
(if (<=.f64 eps -1261007895663739/4503599627370496) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -1261007895663739/4503599627370496) (not (<=.f64 eps 7148113328562451/2305843009213693952))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(if (<=.f64 eps -1261007895663739/4503599627370496) (sin.f64 eps) (if (<=.f64 eps 7148113328562451/2305843009213693952) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 148 to 105 computations (29.1% saved)

soundness89.0ms (0.6%)

Algorithm
egg-herbie
Rules
1274×associate-+l-
1088×associate-+r-
784×fma-def
734×associate--r+
546×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
044010534
1126510192
2576910192
Stop Event
node limit
Compiler

Compiled 117 to 28 computations (76.1% saved)

end87.0ms (0.6%)

Compiler

Compiled 130 to 65 computations (50% saved)

Profiling

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