Details

Time bar (total: 13.4s)

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)

sample4.2s (31.4%)

Results
2.2s3623×body1024valid
1.2s1244×body2048valid
501.0ms1408×body512valid
367.0ms1975×body256valid
8.0msbody4096valid
Bogosity

preprocess31.0ms (0.2%)

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)

simplify18.0ms (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
36.8b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
36.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.5b
(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))

rewrite107.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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)))))))

simplify178.0ms (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))

eval111.0ms (0.8%)

Compiler

Compiled 6859 to 2143 computations (68.8% saved)

prune75.0ms (0.6%)

Pruning

30 alts after pruning (29 fresh and 1 done)

PrunedKeptTotal
New24529274
Fresh000
Picked011
Done000
Total24530275
Error
0.1b
Counts
275 → 30
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
35.7b
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
36.1b
(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))))))
37.3b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
37.1b
(/.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)
36.9b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
24.5b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (sin.f64 x))
24.5b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
20.1b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
37.8b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
36.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
37.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.8b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
47.0b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
42.8b
(+.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))))
20.8b
(+.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))))
20.8b
(+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.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)))
29.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
20.1b
(+.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)))
20.7b
(+.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))))
0.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
36.1b
(+.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))))))
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)))
36.0b
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
36.8b
(+.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)))))
37.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
16.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.4b
(*.f64 (cos.f64 x) eps)
40.8b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 1219 to 736 computations (39.6% saved)

localize18.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.2b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series6.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite147.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
846×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)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
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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#<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))))

simplify130.0ms (1%)

Algorithm
egg-herbie
Rules
1130×associate-+l+
1080×associate-+r+
744×associate-*r*
724×+-commutative
682×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
050410294
1134810134
2607510122
Stop Event
node limit
Counts
246 → 306
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 (-.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 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 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 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 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (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 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
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(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (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 (-.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 -1/2 (*.f64 (*.f64 eps eps) (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))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.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 -1/2 (*.f64 (*.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 -1/2 (*.f64 (*.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 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 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.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 -1/2 (*.f64 (*.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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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 (+.f64 1/6 (*.f64 -1/6 (cos.f64 eps))) (pow.f64 x 3) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.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)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
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(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize5.0ms (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)

rewrite75.0ms (0.6%)

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)))))))

simplify52.0ms (0.4%)

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

Useful iterations: 4 (0.0ms)

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

localize50.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.4b
(+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x))))
2.1b
(+.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)))))
2.9b
(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))
3.5b
(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
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x))))
0.0ms
eps
@0
(-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))

rewrite60.0ms (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
021172
154776
Stop Event
node limit
Counts
4 → 118
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)))))
(+.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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#<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 eps eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 eps eps)))))))

simplify105.0ms (0.8%)

Algorithm
egg-herbie
Rules
886×*-commutative
756×associate--r+
712×+-commutative
678×associate-+r-
658×associate-+l-
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03885252
111083660
244453468
Stop Event
node limit
Counts
214 → 233
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)))
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(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps eps)))))
(pow.f64 (-.f64 eps eps) 1)
(sqrt.f64 (pow.f64 (-.f64 eps eps) 2))
(log.f64 (exp.f64 (-.f64 eps eps)))
(cbrt.f64 (*.f64 (-.f64 eps eps) (pow.f64 (-.f64 eps eps) 2)))
(expm1.f64 (log1p.f64 (-.f64 eps eps)))
(exp.f64 (log.f64 (-.f64 eps eps)))
(exp.f64 (*.f64 (log.f64 (-.f64 eps eps)) 1))
(log1p.f64 (expm1.f64 (-.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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) 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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) 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 x 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 x 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 x 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 x eps))
(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 x eps))
(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 x eps))
(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 x eps))
(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 x eps))
(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))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) 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 x 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 x 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 x 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 x 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 x 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 x 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 x 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 x eps))
(*.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))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(*.f64 -3 x)
(neg.f64 (*.f64 3 x))
(*.f64 x -3)
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.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 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (sin.f64 (*.f64 -1 x))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (sin.f64 (neg.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (neg.f64 (sin.f64 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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 (neg.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (neg.f64 (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) eps)) (neg.f64 (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 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (sin.f64 (*.f64 -1 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 (neg.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (neg.f64 (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)) (fma.f64 -1/2 (*.f64 eps (*.f64 (sin.f64 x) eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 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 2 (+.f64 x eps)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 -2 x)
(*.f64 x -2)
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)
(sin.f64 eps)
(*.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(sin.f64 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 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 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)))))
(*.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 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)))
(pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 1)
(sin.f64 eps)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(fabs.f64 (sin.f64 eps))
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(/.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))) 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 (+.f64 (pow.f64 (sin.f64 eps) 3) 0) (pow.f64 (sin.f64 eps) 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 (sin.f64 (*.f64 1/2 (-.f64 eps eps))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 0) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (-.f64 (sin.f64 0) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 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 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 (+.f64 (pow.f64 (sin.f64 eps) 3) 0) (pow.f64 (sin.f64 eps) 2))
(/.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))) 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 (+.f64 (pow.f64 (sin.f64 eps) 3) 0) (pow.f64 (sin.f64 eps) 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 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 0) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (-.f64 (sin.f64 0) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 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 (-.f64 (pow.f64 (sin.f64 0) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (-.f64 (sin.f64 0) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 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))))))))
(*.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 (+.f64 (pow.f64 (sin.f64 eps) 3) 0) (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)
(sin.f64 eps)
(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 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))
(fabs.f64 (sin.f64 eps))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(sin.f64 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)))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(sin.f64 eps)
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(sin.f64 eps)
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))) 1))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (-.f64 eps eps))))))
(sin.f64 eps)
(-.f64 eps eps)
0
(-.f64 (+.f64 eps x) (+.f64 eps x))
0
(-.f64 (-.f64 eps (+.f64 eps x)) x)
(*.f64 x -2)
(-.f64 (-.f64 eps (+.f64 eps x)) (neg.f64 x))
0
(-.f64 (-.f64 eps eps) 0)
0
(-.f64 (/.f64 (*.f64 x x) (+.f64 (-.f64 x (+.f64 eps x)) eps)) (/.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) (+.f64 (-.f64 x (+.f64 eps x)) eps)))
0
(*.f64 (-.f64 eps eps) 1)
0
(*.f64 1 (-.f64 eps eps))
0
(*.f64 (sqrt.f64 (-.f64 eps eps)) (sqrt.f64 (-.f64 eps eps)))
0
(*.f64 (cbrt.f64 (-.f64 eps eps)) (cbrt.f64 (pow.f64 (-.f64 eps eps) 2)))
(*.f64 (cbrt.f64 0) (cbrt.f64 0))
(*.f64 (cbrt.f64 (pow.f64 (-.f64 eps eps) 2)) (cbrt.f64 (-.f64 eps eps)))
(*.f64 (cbrt.f64 0) (cbrt.f64 0))
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps (+.f64 eps x)) 2)) (/.f64 1 (+.f64 (-.f64 x (+.f64 eps x)) eps)))
0
(*.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3)) (/.f64 1 (+.f64 (*.f64 x x) (*.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps eps)))))
0
(*.f64 (+.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x))) (-.f64 (sqrt.f64 (+.f64 eps x)) (sqrt.f64 (+.f64 eps x))))
0
(/.f64 1 (/.f64 (+.f64 (-.f64 x (+.f64 eps x)) eps) (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps (+.f64 eps x)) 2))))
0
(/.f64 1 (/.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps eps))) (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3))))
0
(/.f64 (*.f64 (+.f64 eps x) (-.f64 eps eps)) (+.f64 eps eps))
0
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps (+.f64 eps x)) 2)) (+.f64 (-.f64 x (+.f64 eps x)) eps))
0
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3)) (+.f64 (*.f64 x x) (*.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps eps))))
0
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3)) (+.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) (-.f64 (*.f64 x x) (*.f64 x (-.f64 eps (+.f64 eps x))))))
(/.f64 (+.f64 (pow.f64 x 3) (pow.f64 (neg.f64 x) 3)) (+.f64 (pow.f64 (neg.f64 x) 2) (*.f64 x (-.f64 x (neg.f64 x)))))
(/.f64 (-.f64 (pow.f64 x 3) (pow.f64 x 3)) (fma.f64 x (+.f64 x x) (*.f64 x x)))
(/.f64 0 (*.f64 x (*.f64 x 3)))
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 (+.f64 eps x) 3)) (pow.f64 (+.f64 eps x) 2))
0
(/.f64 (-.f64 (pow.f64 (+.f64 eps x) 3) (pow.f64 (+.f64 eps x) 3)) (+.f64 (pow.f64 (+.f64 eps x) 2) (+.f64 (pow.f64 (+.f64 eps x) 2) (pow.f64 (+.f64 eps x) 2))))
0
(/.f64 (-.f64 (*.f64 eps eps) (*.f64 eps eps)) (+.f64 eps eps))
0
(/.f64 (-.f64 (pow.f64 (-.f64 eps (+.f64 eps x)) 2) (*.f64 x x)) (-.f64 eps eps))
0
(/.f64 (-.f64 (pow.f64 eps 3) (pow.f64 eps 3)) (+.f64 (*.f64 eps eps) (+.f64 (*.f64 eps eps) (*.f64 eps eps))))
0
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 eps x) 2) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps)))) (*.f64 (+.f64 eps x) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))) (*.f64 (+.f64 eps x) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))) (*.f64 (+.f64 x eps) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))) (*.f64 (+.f64 x eps) (fma.f64 eps eps (*.f64 x (-.f64 x eps)))))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 (*.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))) (*.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (+.f64 eps x)) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps))) (pow.f64 (+.f64 eps x) 2))) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (+.f64 x eps) (+.f64 (pow.f64 eps 3) (pow.f64 x 3))) (*.f64 (pow.f64 (+.f64 x eps) 2) (fma.f64 eps eps (*.f64 x (-.f64 x eps))))) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(/.f64 (*.f64 (+.f64 x eps) (-.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (*.f64 (+.f64 x eps) (fma.f64 x (-.f64 x eps) (*.f64 eps eps))))) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))
(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 x 3)) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps)))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps))) (+.f64 (pow.f64 eps 3) (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps))) (+.f64 (*.f64 eps eps) (*.f64 x (-.f64 x eps)))))
0
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (-.f64 eps (+.f64 eps x)) 2))) (neg.f64 (+.f64 (-.f64 x (+.f64 eps x)) eps)))
0
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (-.f64 eps (+.f64 eps x)) 3))) (neg.f64 (+.f64 (*.f64 x x) (*.f64 (-.f64 eps (+.f64 eps x)) (-.f64 eps eps)))))
0
(pow.f64 (-.f64 eps eps) 1)
0
(sqrt.f64 (pow.f64 (-.f64 eps eps) 2))
(sqrt.f64 0)
(log.f64 (exp.f64 (-.f64 eps eps)))
0
(cbrt.f64 (*.f64 (-.f64 eps eps) (pow.f64 (-.f64 eps eps) 2)))
(cbrt.f64 0)
(expm1.f64 (log1p.f64 (-.f64 eps eps)))
0
(exp.f64 (log.f64 (-.f64 eps eps)))
0
(exp.f64 (*.f64 (log.f64 (-.f64 eps eps)) 1))
0
(log1p.f64 (expm1.f64 (-.f64 eps eps)))
0

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.3b
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)
2.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.5b
(sin.f64 (+.f64 x eps))
5.7b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 40 to 12 computations (70% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite157.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
1340×associate-*r/
1090×distribute-lft-in
1000×associate-*l/
352×associate-+l+
282×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01248
127648
2361948
Stop Event
node limit
Counts
2 → 318
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)
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 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(sin.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))))))

simplify273.0ms (2%)

Algorithm
egg-herbie
Rules
1344×associate-*r*
1276×associate-/l*
1264×associate-*l*
818×distribute-lft-in
796×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
086728128
1252728008
Stop Event
node limit
Counts
366 → 522
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 3)
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 (sin.f64 eps) 2)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (-.f64 (cos.f64 eps) 1)) (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (sin.f64 eps))))) (pow.f64 x 3)) (+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 3)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
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(/.f64 (*.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 3) (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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (neg.f64 (sin.f64 x)) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (+.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))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (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))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (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 (*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 3) 1) (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(/.f64 (*.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 3) 1) (pow.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) (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))) (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) (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 x) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (*.f64 (*.f64 (-.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 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.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 x) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.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)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (/.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (-.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 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 1) (+.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 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (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 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (*.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)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
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))))
(-.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 (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (neg.f64 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 (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 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (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)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps 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 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 3)
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x))
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 x (*.f64 3 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x)))
(fma.f64 (*.f64 x x) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (fma.f64 2 (*.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 eps) (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 x (*.f64 3 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2))))))
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(/.f64 (/.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (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 (-.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 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (*.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) 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 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)))))) (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (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 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))
(/.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)) (*.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 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (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)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (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 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) (*.f64 (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)) 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)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))))))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 6))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 6))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 3))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(pow.f64 (exp.f64 3) (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3)

localize83.0ms (0.6%)

Local error

Found 4 expressions with local error:

NewErrorProgram
2.4b
(*.f64 (pow.f64 eps 4) (sin.f64 x))
4.8b
(*.f64 (pow.f64 eps 2) (sin.f64 x))
7.8b
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
9.5b
(+.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))))))
Compiler

Compiled 139 to 82 computations (41% saved)

series12.0ms (0.1%)

Counts
4 → 42
Calls

24 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(+.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))))))
2.0ms
x
@0
(+.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))))))
1.0ms
x
@-inf
(+.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))))))
0.0ms
eps
@0
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
0.0ms
eps
@inf
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))

rewrite117.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
668×associate-+l+
562×add-sqr-sqrt
540×*-un-lft-identity
534×pow1
526×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
026164
1575162
27321162
Stop Event
node limit
Counts
4 → 111
Calls
Call 1
Inputs
(+.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 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 4) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 1/576 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 8))) (-.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)) (+.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 (pow.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) 2) (-.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps 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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))))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))) 2) (cbrt.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (*.f64 1/576 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 8))) (pow.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) 2)) (/.f64 1 (-.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))))))) 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 8)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 4) 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 (pow.f64 eps 4) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))))))

simplify132.0ms (1%)

Algorithm
egg-herbie
Rules
1066×associate-+r+
1056×associate-/l*
986×associate-+l+
786×associate-*r*
738×associate-/r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
037011439
1102110723
2458510711
Stop Event
node limit
Counts
153 → 227
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 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (pow.f64 eps 3))) (pow.f64 x 2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (pow.f64 eps 3))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/144 (pow.f64 eps 4)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 3))))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (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 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (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 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (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 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
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(fma.f64 (*.f64 1/24 (pow.f64 eps 4)) (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 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))) 1)
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(*.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 1)
(*.f64 1 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) (sqrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2)))
(*.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2)) (cbrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(*.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3) (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3)) (/.f64 1 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4))))
(/.f64 1 (/.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3) (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4)) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3) (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3) (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3)) (+.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 -1/6 (*.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))))
(/.f64 (-.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36)) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4))) (neg.f64 (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) 3) (pow.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) 3))) (neg.f64 (+.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (*.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (-.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))))
(pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) -1/6 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) -1/2 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 1 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (pow.f64 (*.f64 (*.f64 eps (cbrt.f64 (cos.f64 x))) (cbrt.f64 -1/6)) 2) (*.f64 (*.f64 eps (cbrt.f64 (cos.f64 x))) (cbrt.f64 -1/6)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)))) 1)
(pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 1)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 6)))
(cbrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))) 1)
(pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 1)
(pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 8)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 4) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 4) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 4) (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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)))
(*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)))
(*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)))
(*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) x (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 x (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(fma.f64 x (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (pow.f64 eps 3))) (pow.f64 x 2)))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) x (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (fma.f64 -1/2 eps (*.f64 (pow.f64 eps 3) 1/12)) (*.f64 x x)))))
(+.f64 (fma.f64 x (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 x (*.f64 x (fma.f64 eps -1/2 (*.f64 (pow.f64 eps 3) 1/12)))))
(+.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 x (*.f64 x (fma.f64 (pow.f64 eps 3) 1/12 (*.f64 eps -1/2)))))
(+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2))) x) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 eps) (*.f64 1/12 (pow.f64 eps 3))) (pow.f64 x 2)) (*.f64 (+.f64 (*.f64 -1/144 (pow.f64 eps 4)) (*.f64 1/12 (pow.f64 eps 2))) (pow.f64 x 3))))))
(fma.f64 (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))) x (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 (fma.f64 -1/2 eps (*.f64 (pow.f64 eps 3) 1/12)) (*.f64 x x) (*.f64 (fma.f64 -1/144 (pow.f64 eps 4) (*.f64 (*.f64 eps eps) 1/12)) (pow.f64 x 3))))))
(+.f64 (fma.f64 x (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2))) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (fma.f64 (fma.f64 eps -1/2 (*.f64 (pow.f64 eps 3) 1/12)) (*.f64 x x) (*.f64 (fma.f64 (pow.f64 eps 4) -1/144 (*.f64 (*.f64 eps eps) 1/12)) (pow.f64 x 3))))
(+.f64 (fma.f64 x (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (fma.f64 (fma.f64 (pow.f64 eps 3) 1/12 (*.f64 eps -1/2)) (*.f64 x x) (*.f64 (fma.f64 (*.f64 eps eps) 1/12 (*.f64 (pow.f64 eps 4) -1/144)) (pow.f64 x 3))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))
(*.f64 -1/6 (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 1/12 (*.f64 (pow.f64 eps 3) (*.f64 x x)) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/12 (*.f64 x (*.f64 x (pow.f64 eps 3))))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) (*.f64 1/12 (*.f64 x x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (pow.f64 x 2))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 1/12 (*.f64 (pow.f64 eps 3) (*.f64 x x)) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/12 (*.f64 (*.f64 eps eps) (pow.f64 x 3))))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 1/12 (*.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (*.f64 eps eps) (*.f64 1/12 (pow.f64 x 3))))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 1/12 (*.f64 x (*.f64 x (pow.f64 eps 3))) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (*.f64 eps (*.f64 eps 1/12)) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 (pow.f64 eps 2) x)
(*.f64 x (*.f64 eps eps))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 x (*.f64 eps eps)))
(fma.f64 (*.f64 (*.f64 eps eps) -1/6) (pow.f64 x 3) (*.f64 x (*.f64 eps eps)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 x (*.f64 eps eps))))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 x (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 x (*.f64 eps eps) (*.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) 1/120))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (*.f64 (*.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 x (*.f64 eps eps)))))
(fma.f64 -1/5040 (*.f64 eps (*.f64 eps (pow.f64 x 7))) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 x (*.f64 eps eps) (*.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 5) 1/120)))))
(fma.f64 -1/5040 (*.f64 eps (*.f64 eps (pow.f64 x 7))) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 x (*.f64 eps eps) (*.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) 1/120)))))
(*.f64 (pow.f64 eps 4) x)
(*.f64 x (pow.f64 eps 4))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3))) (*.f64 (pow.f64 eps 4) x))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (*.f64 x (pow.f64 eps 4)))
(fma.f64 x (pow.f64 eps 4) (*.f64 (pow.f64 x 3) (*.f64 -1/6 (pow.f64 eps 4))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 4) (pow.f64 x 5))) (*.f64 (pow.f64 eps 4) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (pow.f64 eps 4) (pow.f64 x 5)) (*.f64 x (pow.f64 eps 4))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (fma.f64 x (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (fma.f64 x (pow.f64 eps 4) (*.f64 (pow.f64 x 5) (*.f64 (pow.f64 eps 4) 1/120))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 4) (pow.f64 x 5))) (+.f64 (*.f64 (pow.f64 eps 4) x) (*.f64 -1/5040 (*.f64 (pow.f64 eps 4) (pow.f64 x 7))))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 (pow.f64 eps 4) x (*.f64 (*.f64 -1/5040 (pow.f64 eps 4)) (pow.f64 x 7)))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 4) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (pow.f64 eps 4) (pow.f64 x 5)) (fma.f64 x (pow.f64 eps 4) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 x 7) -1/5040)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))))) 1)
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(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(pow.f64 (cbrt.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))) 3)
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(pow.f64 (pow.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))) 3) 1/3)
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(sqrt.f64 (pow.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))) 2))
(sqrt.f64 (pow.f64 (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))) 2))
(fabs.f64 (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(log.f64 (exp.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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)))))) 3))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(expm1.f64 (log1p.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))) 1))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (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))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 1/24 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 1 (+.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 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (sqrt.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24))) (sqrt.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24))) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (sqrt.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))) (sqrt.f64 (+.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 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24))) 2) (cbrt.f64 (*.f64 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24))) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) 2)) (cbrt.f64 (+.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 (pow.f64 eps 4) (*.f64 (sin.f64 x) 1/24)))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))) (*.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4))))
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (*.f64 (sin.f64 x) (*.f64 1/24 (pow.f64 eps 4))))
(fma.f64 (*.f64 1/24 (pow.f64 eps 4)) (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))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(-.f64 (/.f64 (*.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 6)) 1/36) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))) (/.f64 (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) 1/4) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 6) 1/36)) (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 (sin.f64 x) 2) 1/4))) (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(/.f64 (fma.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 eps 6) 1/36) (*.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)) -1/4)) (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) 1/2))))
(*.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 1)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 1 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) (sqrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
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(pow.f64 (cbrt.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 3)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(pow.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 3) 1/3)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) 2))
(fabs.f64 (fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(fabs.f64 (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(log.f64 (exp.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 3))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(exp.f64 (log.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))) 1))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) -1/6 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) -1/2 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 1 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 1 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) (sqrt.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) (sqrt.f64 -1/2)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 -1/2))) (*.f64 eps (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 -1/2))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2) (*.f64 (sqrt.f64 -1/2) (sqrt.f64 -1/2))))
(fma.f64 (pow.f64 (*.f64 (*.f64 eps (cbrt.f64 (cos.f64 x))) (cbrt.f64 -1/6)) 2) (*.f64 (*.f64 eps (cbrt.f64 (cos.f64 x))) (cbrt.f64 -1/6)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (pow.f64 (*.f64 eps (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 -1/6))) 2) (*.f64 eps (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 -1/6))) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (pow.f64 (*.f64 eps (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 -1/6))) 3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (*.f64 -1/6 (pow.f64 eps 3)) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)))) 1)
(*.f64 (*.f64 eps eps) (sin.f64 x))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 1)
(*.f64 (*.f64 eps eps) (sin.f64 x))
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))) 3)
(*.f64 (*.f64 eps eps) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 3) 1/3)
(*.f64 (*.f64 eps eps) (sin.f64 x))
(sqrt.f64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (log.f64 (pow.f64 (exp.f64 eps) eps)))
(*.f64 (sin.f64 x) (*.f64 eps (log.f64 (exp.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) 3))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 6)))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 eps 6) (pow.f64 (sin.f64 x) 3)))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))) 1))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))) 1)
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(pow.f64 (*.f64 (*.f64 eps eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (*.f64 eps (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(pow.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 eps 8)))
(log.f64 (pow.f64 (exp.f64 (pow.f64 eps 4)) (sin.f64 x)))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)))))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 eps 4) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 eps 4) 3)))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(exp.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (pow.f64 eps 4))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 eps 4))

eval836.0ms (6.2%)

Compiler

Compiled 48644 to 20709 computations (57.4% saved)

prune638.0ms (4.7%)

Pruning

55 alts after pruning (52 fresh and 3 done)

PrunedKeptTotal
New1551401591
Fresh121224
Picked101
Done235
Total1566551621
Error
0.0b
Counts
1621 → 55
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
17.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
35.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
15.8b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps))))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
35.7b
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
49.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
37.3b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
35.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
36.2b
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
20.3b
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
37.1b
(/.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)
24.5b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
20.1b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
27.2b
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
37.8b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
36.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.8b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
47.0b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
42.8b
(+.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))))
29.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
36.1b
(+.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)))))
36.0b
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
37.0b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps x)) x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
52.3b
(+.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)))))
50.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (/.f64 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
39.1b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (*.f64 x x) (neg.f64 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
60.8b
(+.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))
47.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
37.0b
(+.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)))))
38.6b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
38.1b
(+.f64 (sin.f64 (*.f64 1/2 0)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
48.8b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
49.8b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
37.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
16.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
28.9b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
35.4b
(*.f64 (cos.f64 x) eps)
28.8b
(sin.f64 eps)
25.8b
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
50.6b
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
19.4b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
40.4b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
39.2b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
48.0b
eps
Compiler

Compiled 1886 to 1270 computations (32.7% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
0.2b
(*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
2.0b
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 51 to 27 computations (47.1% saved)

series3.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
x
@0
(*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
0.0ms
eps
@0
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
0.0ms
eps
@0
(*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
0.0ms
eps
@0
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
0.0ms
eps
@inf
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))

rewrite97.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
858×swap-sqr
722×distribute-rgt-in
692×associate-*r/
688×distribute-lft-in
578×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01669
131269
2358369
Stop Event
node limit
Counts
3 → 207
Calls
Call 1
Inputs
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (cos.f64 eps) -1) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2))) (*.f64 1 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (*.f64 1 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) 1) (*.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) 1))))) (#(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 (log1p.f64 (+.f64 (cos.f64 eps) -1))) 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 0 (exp.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (/.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 (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 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))) (+.f64 (*.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) (/.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 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simplify174.0ms (1.3%)

Algorithm
egg-herbie
Rules
1552×associate-/r/
764×+-commutative
740×associate-*r*
658×associate-*l*
640×associate-/l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
054310671
1138610351
2608510339
Stop Event
node limit
Counts
267 → 336
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 (-.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))
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(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (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 (-.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 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))))
(+.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 (*.f64 1/120 (+.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 x (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(+.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 (*.f64 1/120 (+.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 x (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.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 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (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))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.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 -1/2 (*.f64 (*.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 -1/2 (*.f64 (*.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 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 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.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 -1/2 (*.f64 (*.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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (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)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(+.f64 (cos.f64 eps) -1)
(+.f64 (+.f64 (cos.f64 eps) -1) 0)
(+.f64 (cos.f64 eps) -1)
(+.f64 0 (+.f64 (cos.f64 eps) -1))
(+.f64 (cos.f64 eps) -1)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))))) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (+.f64 0 (cos.f64 eps)) -1)
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(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize8.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
9.5b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify60.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

localize32.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.7b
(+.f64 x (*.f64 x -3))
2.1b
(+.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)))))
3.5b
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x))))
Compiler

Compiled 108 to 40 computations (63% saved)

series2.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
518×+-commutative
508×add-sqr-sqrt
504×associate-+r+
496×*-un-lft-identity
494×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01976
147446
2750046
Stop Event
node limit
Counts
2 → 78
Calls
Call 1
Inputs
(+.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 x (*.f64 x -3))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (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 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (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 x -2))) (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 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (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 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2))))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 eps eps)) (*.f64 1/2 (*.f64 x -2))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 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simplify74.0ms (0.6%)

Algorithm
egg-herbie
Rules
1276×associate-*r/
956×*-commutative
920×unswap-sqr
710×associate-*l/
472×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02584196
16973146
229963112
Stop Event
node limit
Counts
114 → 131
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 (*.f64 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 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) 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 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))))
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(*.f64 -2 x)
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (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 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 1)
(*.f64 1 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (/.f64 1 (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(*.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2))))))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (/.f64 (-.f64 (*.f64 1/2 (+.f64 eps eps)) (*.f64 1/2 (*.f64 x -2))) 2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))) 2)
(*.f64 (*.f64 2 (sin.f64 (*.f64 (*.f64 1/2 (+.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2))) (cos.f64 (*.f64 (*.f64 1/2 (-.f64 (*.f64 x -2) (+.f64 eps eps))) 1/2)))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2)))))) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3)) (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2)))))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2))) 2) (*.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (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 x -2))) 2)) (-.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (*.f64 x -2)))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 2) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 2))) (neg.f64 (-.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 3) (pow.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) 3))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) 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 x -2))))))))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(fma.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -2))) 1)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x 4)) (/.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x 4)))
(*.f64 x -2)
(*.f64 (*.f64 x -2) 1)
(*.f64 1 (*.f64 x -2))
(*.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(*.f64 (cbrt.f64 (*.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(*.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (/.f64 1 (*.f64 x 4)))
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(*.f64 -2 x)
(/.f64 1 (/.f64 (*.f64 x 4) (*.f64 (*.f64 x -2) (*.f64 x 4))))
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))) (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))))
(/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -3) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x -3)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x x)) (-.f64 (*.f64 x -3) x))
(/.f64 (neg.f64 (*.f64 (*.f64 x -2) (*.f64 x 4))) (neg.f64 (*.f64 x 4)))
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(pow.f64 (*.f64 x -2) 1)
(pow.f64 (sqrt.f64 (*.f64 x -2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x -2)) 3)
(pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x -2) 2))
(log.f64 (exp.f64 (*.f64 x -2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2))))
(cbrt.f64 (pow.f64 (*.f64 x -2) 3))
(expm1.f64 (log1p.f64 (*.f64 x -2)))
(exp.f64 (log.f64 (*.f64 x -2)))
(exp.f64 (*.f64 (log.f64 (*.f64 x -2)) 1))
(log1p.f64 (expm1.f64 (*.f64 x -2)))
(fma.f64 x -3 x)
(fma.f64 -3 x x)
(fma.f64 1 x (*.f64 x -3))
(fma.f64 1 (*.f64 x -3) x)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x -3))
(fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) x)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x -3))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) 2) (cbrt.f64 (*.f64 x -3)) x)
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 -1 x)))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 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 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (sin.f64 x) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 x) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (sin.f64 (neg.f64 x)))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))) (sin.f64 (neg.f64 x)))
(+.f64 (fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 1 (*.f64 -1/2 (*.f64 eps eps))))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) 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 (+.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))))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))) (sin.f64 (neg.f64 x))))
(+.f64 (fma.f64 eps (cos.f64 x) (sin.f64 x)) (+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (pow.f64 eps 3) (*.f64 -1/6 (cos.f64 x)))) (neg.f64 (sin.f64 x))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 2 eps) (*.f64 2 x)))) (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 (*.f64 1/2 (-.f64 (*.f64 2 x) (*.f64 -2 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 2 (+.f64 eps x)))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (*.f64 1 (+.f64 eps x))) (sin.f64 (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x (*.f64 eps 1))) (neg.f64 (sin.f64 x)))
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(/.f64 (+.f64 (pow.f64 (neg.f64 (sin.f64 x)) 3) (pow.f64 (sin.f64 (*.f64 eps 1)) 3)) (fma.f64 (sin.f64 (*.f64 eps 1)) (-.f64 (sin.f64 (*.f64 eps 1)) (neg.f64 (sin.f64 x))) (pow.f64 (neg.f64 (sin.f64 x)) 2)))
(pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 1)
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 3)
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 3) 1/3)
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 2))
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
(fabs.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1))))
(log.f64 (exp.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 3))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(exp.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))) 1))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 1 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 1 (sin.f64 (*.f64 1/2 (+.f64 eps eps))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sqrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (+.f64 eps eps)))) (sin.f64 (*.f64 1/2 (*.f64 x -2))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2)))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (*.f64 1/2 (*.f64 x -2))) (sin.f64 (*.f64 1/2 (+.f64 eps eps))))
(+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (*.f64 eps 1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x -2))) 1)
(*.f64 x -2)
(-.f64 (/.f64 (*.f64 x x) (*.f64 x 4)) (/.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x 4)))
(-.f64 (/.f64 x (/.f64 (*.f64 x 4) x)) (/.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x 4)))
(-.f64 (/.f64 x 4) (/.f64 (*.f64 (*.f64 x x) 9) (*.f64 x 4)))
(+.f64 (/.f64 (*.f64 (*.f64 x x) -9) (*.f64 x 4)) (*.f64 x 1/4))
(*.f64 x -2)
(*.f64 (*.f64 x -2) 1)
(*.f64 x -2)
(*.f64 1 (*.f64 x -2))
(*.f64 x -2)
(*.f64 (sqrt.f64 (*.f64 x -2)) (sqrt.f64 (*.f64 x -2)))
(*.f64 x -2)
(*.f64 (cbrt.f64 (*.f64 x -2)) (pow.f64 (cbrt.f64 (*.f64 x -2)) 2))
(*.f64 x -2)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 x -2)) 2) (cbrt.f64 (*.f64 x -2)))
(*.f64 x -2)
(*.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (/.f64 1 (*.f64 x 4)))
(*.f64 x -2)
(*.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (/.f64 1 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(*.f64 (*.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 -3 (-.f64 (*.f64 x -3) x))))))
(/.f64 (*.f64 (pow.f64 x 3) -26) (*.f64 x (+.f64 x (*.f64 -3 (*.f64 x -4)))))
(*.f64 (pow.f64 x 3) (/.f64 -26 (fma.f64 x x (*.f64 (*.f64 x x) 12))))
(*.f64 -2 x)
(*.f64 x -2)
(/.f64 1 (/.f64 (*.f64 x 4) (*.f64 (*.f64 x -2) (*.f64 x 4))))
(*.f64 x -2)
(/.f64 1 (/.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))) (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))))
(*.f64 (*.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 -3 (-.f64 (*.f64 x -3) x))))))
(/.f64 (*.f64 (pow.f64 x 3) -26) (*.f64 x (+.f64 x (*.f64 -3 (*.f64 x -4)))))
(*.f64 (pow.f64 x 3) (/.f64 -26 (fma.f64 x x (*.f64 (*.f64 x x) 12))))
(/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4))
(*.f64 x -2)
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x))))
(*.f64 (*.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 -3 (-.f64 (*.f64 x -3) x))))))
(/.f64 (*.f64 (pow.f64 x 3) -26) (*.f64 x (+.f64 x (*.f64 -3 (*.f64 x -4)))))
(*.f64 (pow.f64 x 3) (/.f64 -26 (fma.f64 x x (*.f64 (*.f64 x x) 12))))
(/.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3))) (+.f64 (pow.f64 (*.f64 x -3) 2) (-.f64 (*.f64 x x) (*.f64 x (*.f64 x -3)))))
(*.f64 (*.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 -3 (-.f64 (*.f64 x -3) x))))))
(/.f64 (*.f64 (pow.f64 x 3) -26) (*.f64 x (+.f64 x (*.f64 -3 (*.f64 x -4)))))
(*.f64 (pow.f64 x 3) (/.f64 -26 (fma.f64 x x (*.f64 (*.f64 x x) 12))))
(/.f64 (-.f64 (pow.f64 (*.f64 x -3) 2) (*.f64 x x)) (-.f64 (*.f64 x -3) x))
(*.f64 x -2)
(/.f64 (neg.f64 (*.f64 (*.f64 x -2) (*.f64 x 4))) (neg.f64 (*.f64 x 4)))
(*.f64 x -2)
(/.f64 (neg.f64 (+.f64 (pow.f64 x 3) (*.f64 -27 (pow.f64 x 3)))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x -3) (-.f64 (*.f64 x -3) x)))))
(*.f64 (*.f64 -26 (pow.f64 x 3)) (/.f64 1 (fma.f64 x x (*.f64 x (*.f64 -3 (-.f64 (*.f64 x -3) x))))))
(/.f64 (*.f64 (pow.f64 x 3) -26) (*.f64 x (+.f64 x (*.f64 -3 (*.f64 x -4)))))
(*.f64 (pow.f64 x 3) (/.f64 -26 (fma.f64 x x (*.f64 (*.f64 x x) 12))))
(pow.f64 (*.f64 x -2) 1)
(*.f64 x -2)
(pow.f64 (sqrt.f64 (*.f64 x -2)) 2)
(*.f64 x -2)
(pow.f64 (cbrt.f64 (*.f64 x -2)) 3)
(*.f64 x -2)
(pow.f64 (pow.f64 (*.f64 x -2) 3) 1/3)
(*.f64 x -2)
(sqrt.f64 (pow.f64 (*.f64 x -2) 2))
(fabs.f64 (*.f64 x -2))
(log.f64 (exp.f64 (*.f64 x -2)))
(*.f64 x -2)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x -2))))
(*.f64 x -2)
(cbrt.f64 (pow.f64 (*.f64 x -2) 3))
(*.f64 x -2)
(expm1.f64 (log1p.f64 (*.f64 x -2)))
(*.f64 x -2)
(exp.f64 (log.f64 (*.f64 x -2)))
(*.f64 x -2)
(exp.f64 (*.f64 (log.f64 (*.f64 x -2)) 1))
(*.f64 x -2)
(log1p.f64 (expm1.f64 (*.f64 x -2)))
(*.f64 x -2)
(fma.f64 x -3 x)
(*.f64 x -2)
(fma.f64 -3 x x)
(*.f64 x -2)
(fma.f64 1 x (*.f64 x -3))
(*.f64 x -2)
(fma.f64 1 (*.f64 x -3) x)
(*.f64 x -2)
(fma.f64 (sqrt.f64 x) (sqrt.f64 x) (*.f64 x -3))
(*.f64 x -2)
(fma.f64 (sqrt.f64 (*.f64 x -3)) (sqrt.f64 (*.f64 x -3)) x)
(*.f64 x -2)
(fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (*.f64 x -3))
(*.f64 x -2)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 x -3)) 2) (cbrt.f64 (*.f64 x -3)) x)
(*.f64 x -2)

localize16.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
4.8b
(*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))
Compiler

Compiled 37 to 19 computations (48.6% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite94.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1042×unswap-sqr
848×swap-sqr
472×sqr-pow
466×pow-sqr
350×distribute-rgt-in
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01358
125858
2305656
Stop Event
node limit
Counts
2 → 67
Calls
Call 1
Inputs
(*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 eps (sqrt.f64 -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) eps)) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))))))
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simplify77.0ms (0.6%)

Algorithm
egg-herbie
Rules
1428×unswap-sqr
1198×distribute-lft-in
1192×distribute-rgt-in
848×associate-/l*
432×associate-*r*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02175345
16054897
224454819
Stop Event
node limit
Counts
115 → 134
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (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 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1)
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) 1))))
(pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 1)
(pow.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 eps (sqrt.f64 -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))))
(log.f64 (pow.f64 (exp.f64 (*.f64 (sin.f64 x) eps)) (*.f64 eps -1/2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps -1/2)) 3) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) -1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))) (-.f64 1 (*.f64 eps (cos.f64 x))))
(-.f64 (+.f64 (*.f64 eps (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)))))) 1)
(*.f64 eps (+.f64 (*.f64 (*.f64 eps -1/2) (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 eps -1/2) (sin.f64 x))))
(*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (*.f64 (sin.f64 x) eps) -1/2)))
(*.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 1)
(*.f64 1 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(*.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4)))) (/.f64 1 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))) (*.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3) 1/6) (pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3) 1/6))
(/.f64 1 (/.f64 (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4)))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))) (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3))) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4)))) 1) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) 3) (pow.f64 (*.f64 eps (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 1/4 (pow.f64 eps 4))) (pow.f64 (*.f64 eps (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) 1))
(/.f64 (-.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) 3) 1) (+.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))) (+.f64 1 (*.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))) 1))))
(pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 2))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) x))
(*.f64 -1/2 (*.f64 (*.f64 x eps) eps))
(*.f64 -1/2 (*.f64 eps (*.f64 eps x)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (*.f64 1/12 (*.f64 (*.f64 eps eps) (pow.f64 x 3))))
(fma.f64 -1/2 (*.f64 (*.f64 x eps) eps) (*.f64 1/12 (*.f64 eps (*.f64 eps (pow.f64 x 3)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 x -1/2) (*.f64 (pow.f64 x 3) 1/12)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (fma.f64 -1/240 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 1/12 (*.f64 (*.f64 eps eps) (pow.f64 x 3)))))
(fma.f64 -1/2 (*.f64 (*.f64 x eps) eps) (fma.f64 1/12 (*.f64 eps (*.f64 eps (pow.f64 x 3))) (*.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 5) -1/240))))
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eps
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(fma.f64 -1/2 (*.f64 (*.f64 x eps) eps) eps)
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) x eps)
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(/.f64 (+.f64 (pow.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))))) 3) -1) (+.f64 (exp.f64 (+.f64 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))) (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))))) 3)) (+.f64 1 (+.f64 (exp.f64 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))))) (exp.f64 (*.f64 2 (log1p.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))))))))
(pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 1)
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 2)
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))) 3)
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3) 1/3)
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 2))
(sqrt.f64 (pow.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))) 2))
(fabs.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))))
(fabs.f64 (*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x))))
(log.f64 (exp.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x))) 3))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (cos.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 eps (fma.f64 (sin.f64 x) (*.f64 -1/2 eps) (cos.f64 x)))

localize44.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
0.2b
(/.f64 1 (+.f64 (cos.f64 eps) -1))
0.2b
(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 47 to 25 computations (46.8% saved)

series2.0ms (0%)

Counts
3 → 60
Calls

15 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(/.f64 1 (+.f64 (cos.f64 eps) -1))
0.0ms
eps
@-inf
(/.f64 1 (+.f64 (cos.f64 eps) -1))
0.0ms
eps
@0
(/.f64 1 (+.f64 (cos.f64 eps) -1))
0.0ms
x
@0
(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
0.0ms
eps
@0
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))

rewrite79.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
1784×associate-*r/
1394×associate-*l/
932×associate-/r*
332×add-sqr-sqrt
326×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01687
132775
2405775
Stop Event
node limit
Counts
3 → 101
Calls
Call 1
Inputs
(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (sin.f64 x) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (/.f64 (sin.f64 x) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sin.f64 x) -1) (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change 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(cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))))

simplify82.0ms (0.6%)

Algorithm
egg-herbie
Rules
1180×associate-*r/
1108×associate-/l*
996×associate-*l/
816×associate-+r+
736×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03045513
18345363
233445363
Stop Event
node limit
Counts
161 → 188
Calls
Call 1
Inputs
(*.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 -2 (pow.f64 eps 2))
(neg.f64 (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (*.f64 -1/120 (pow.f64 eps 2)) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 2)))))
(-.f64 (+.f64 (*.f64 -1/3024 (pow.f64 eps 4)) (*.f64 -1/120 (pow.f64 eps 2))) (+.f64 1/6 (*.f64 2 (/.f64 1 (pow.f64 eps 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))
(*.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 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(-.f64 0 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 0) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (neg.f64 (sin.f64 x)) (-.f64 1 (cos.f64 eps)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 1 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (sin.f64 x) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))
(*.f64 (/.f64 1 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (/.f64 (sin.f64 x) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (sin.f64 x) -1) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) 1) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (/.f64 (sqrt.f64 (sin.f64 x)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (/.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) 1) (/.f64 (cbrt.f64 (sin.f64 x)) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)) (/.f64 (cbrt.f64 (sin.f64 x)) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(pow.f64 (/.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) -1)
(neg.f64 (/.f64 (sin.f64 x) (/.f64 1 (-.f64 1 (cos.f64 eps)))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (exp.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))) 1)
(*.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(*.f64 -1 (/.f64 1 (-.f64 1 (cos.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2))
(*.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2)) (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (/.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 1 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(*.f64 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1) (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) -1))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) -1) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) -1))
(pow.f64 (+.f64 (cos.f64 eps) -1) -1)
(pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -1/2) 2)
(pow.f64 (/.f64 1 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) -2))
(log.f64 (exp.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(log.f64 (+.f64 1 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 eps) -1))))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) -1))
(exp.f64 (*.f64 (neg.f64 (log.f64 (+.f64 (cos.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (-.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 (cos.f64 eps) -1))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1)
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 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 (cos.f64 eps) -1)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.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 (cos.f64 eps) -1)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 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 (cos.f64 eps) -1)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.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 (cos.f64 eps) -1)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 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 (cos.f64 eps) -1)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
Outputs
(*.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 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) (+.f64 -1/120 (*.f64 1/120 (cos.f64 eps))))))
(+.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 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) (+.f64 -1/120 (*.f64 1/120 (cos.f64 eps)))))))
(*.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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (+.f64 (*.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 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
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(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) 1))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

eval493.0ms (3.7%)

Compiler

Compiled 26009 to 13851 computations (46.7% saved)

prune413.0ms (3.1%)

Pruning

62 alts after pruning (55 fresh and 7 done)

PrunedKeptTotal
New1071141085
Fresh64147
Picked011
Done167
Total1078621140
Error
0.0b
Counts
1140 → 62
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
15.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 -1/6 (/.f64 -2 (*.f64 eps eps)))))
17.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
15.8b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
35.7b
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
49.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
37.3b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
35.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
36.2b
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
13.3b
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
37.1b
(/.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)
24.5b
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
20.1b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
27.2b
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
37.8b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
36.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.8b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
47.0b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
42.8b
(+.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))))
29.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
35.7b
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
36.0b
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
38.0b
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
37.0b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps x)) x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
61.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
52.3b
(+.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)))))
50.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (/.f64 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
39.1b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (*.f64 x x) (neg.f64 x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
60.8b
(+.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))
47.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
37.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
37.7b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
47.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
38.6b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
38.1b
(+.f64 (sin.f64 (*.f64 1/2 0)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
48.8b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
49.7b
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
49.8b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
37.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
16.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
28.9b
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
35.4b
(*.f64 (cos.f64 x) eps)
35.6b
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
37.5b
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
28.8b
(sin.f64 eps)
25.8b
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
47.8b
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
19.4b
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
40.4b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
39.2b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
48.0b
eps
Compiler

Compiled 1991 to 1352 computations (32.1% saved)

localize18.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
0.2b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 42 to 17 computations (59.5% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite105.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1314×associate-*r/
1080×associate-*l/
896×distribute-lft-in
366×associate-+l+
318×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01473
130073
2396763
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 1 (*.f64 -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 1 (*.f64 (sin.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (sin.f64 x) -1)) (*.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 -1 (sin.f64 x))) (*.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))) (+.f64 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simplify203.0ms (1.5%)

Algorithm
egg-herbie
Rules
928×+-commutative
866×associate-+r+
776×associate-/l*
734×associate-*r*
734×associate-+l+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
054414802
1151514210
2660514210
Stop Event
node limit
Counts
246 → 324
Calls
Call 1
Inputs
(*.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 (-.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 (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)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (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 -1/2 (*.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)))))
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(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (/.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) 3)) (/.f64 1 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x))))))) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x))))))) (+.f64 (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) 1) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (sqrt.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))) (sqrt.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (cbrt.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (cbrt.f64 (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (+.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (-.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (*.f64 -1 (sin.f64 x)))))))
(pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
(*.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 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (+.f64 (*.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 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.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) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.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 (-.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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 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 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.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))
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(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 3)
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 3) 1/3)
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x))) 2))
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x))) 3))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))) 1))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 eps x)) (*.f64 -1 (sin.f64 x)))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize9.0ms (0.1%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.1b
(*.f64 x (*.f64 eps x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series0.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

simplify53.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

localize33.0ms (0.2%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4)))
3.4b
(cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))
3.5b
(sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4))
Compiler

Compiled 89 to 53 computations (40.4% saved)

series9.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4)))
1.0ms
x
@0
(sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4))
1.0ms
x
@0
(*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4)))
1.0ms
eps
@0
(*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4)))
0.0ms
eps
@0
(sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4))

rewrite122.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1770×associate-*r/
1422×associate-*l/
458×associate-+l+
366×add-sqr-sqrt
356×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01697
135373
2472873
Stop Event
node limit
Counts
3 → 63
Calls
Call 1
Inputs
(sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4))
(cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))
(*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))))
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simplify103.0ms (0.8%)

Algorithm
egg-herbie
Rules
1074×distribute-lft-in
1058×distribute-rgt-in
664×associate-+r+
576×+-commutative
538×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02855603
17345277
228745219
Stop Event
node limit
Counts
135 → 162
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 (*.f64 -1/2 x)))) (sin.f64 (*.f64 -1/2 x)))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 (*.f64 -1/2 x)))) (sin.f64 (*.f64 -1/2 x))))
(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (sin.f64 (*.f64 -1/2 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (cos.f64 (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 (*.f64 -1/2 x)))) (sin.f64 (*.f64 -1/2 x)))))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x)))
(sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x)))
(cos.f64 (*.f64 -1/2 x))
(+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 -1/2 x)))) (cos.f64 (*.f64 -1/2 x)))
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(+.f64 (*.f64 -1/8 (*.f64 (pow.f64 eps 2) (cos.f64 (*.f64 -1/2 x)))) (+.f64 (*.f64 -1/48 (*.f64 (pow.f64 eps 3) (sin.f64 (*.f64 -1/2 x)))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 (*.f64 -1/2 x)))) (cos.f64 (*.f64 -1/2 x)))))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps))))
(cos.f64 (*.f64 -1/2 eps))
(+.f64 (cos.f64 (*.f64 -1/2 eps)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 -1/2 eps)) x)))
(+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (pow.f64 x 2))) (+.f64 (cos.f64 (*.f64 -1/2 eps)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 -1/2 eps)) x))))
(+.f64 (*.f64 -1/8 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (pow.f64 x 2))) (+.f64 (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 -1/2 eps)) (pow.f64 x 3))) (+.f64 (cos.f64 (*.f64 -1/2 eps)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 -1/2 eps)) x)))))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (+.f64 eps x)))
(cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x))))
(cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x))))
(*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps)))) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) x))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps))))) (pow.f64 x 2)) (+.f64 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps)))) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) x)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps)))) (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps))))) (pow.f64 x 2)) (+.f64 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (sin.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps)))) (+.f64 (*.f64 -1/16 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps)))) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (cos.f64 (*.f64 1/2 eps)))) (*.f64 1/16 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (cos.f64 (*.f64 1/2 eps))))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 -1/2 eps)))) (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 -1/2 eps)) (cos.f64 (*.f64 1/2 eps))))) x))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x)))))
(*.f64 (cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x)))))
(*.f64 (cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x)))))
(*.f64 (cos.f64 (*.f64 -1/2 (-.f64 eps (*.f64 -1 x)))) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x)))))
(*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x)))
(+.f64 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))) (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 -1/2 x)) 2)) (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 x)) 2)))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 x)) (sin.f64 (*.f64 -1/2 x)))) (*.f64 1/4 (*.f64 (cos.f64 (*.f64 -1/2 x)) (sin.f64 (*.f64 -1/2 x)))))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))) (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 -1/2 x)) 2)) (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 x)) 2))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/4 (*.f64 (cos.f64 (*.f64 -1/2 x)) (sin.f64 (*.f64 -1/2 x)))) (*.f64 1/4 (*.f64 (cos.f64 (*.f64 -1/2 x)) (sin.f64 (*.f64 -1/2 x)))))) (+.f64 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))) (+.f64 (*.f64 (+.f64 (*.f64 -1/48 (pow.f64 (cos.f64 (*.f64 -1/2 x)) 2)) (+.f64 (*.f64 -1/48 (pow.f64 (sin.f64 (*.f64 -1/2 x)) 2)) (+.f64 (*.f64 -1/16 (pow.f64 (sin.f64 (*.f64 -1/2 x)) 2)) (*.f64 -1/16 (pow.f64 (cos.f64 (*.f64 -1/2 x)) 2))))) (pow.f64 eps 3)) (*.f64 eps (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 (*.f64 -1/2 x)) 2)) (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 -1/2 x)) 2)))))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (cos.f64 (*.f64 -1/2 (+.f64 eps x))) (sin.f64 (*.f64 -1/2 (-.f64 x eps))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x))) (cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x))) (cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x))) (cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps)))))
(*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (*.f64 -1 eps) x))) (cos.f64 (*.f64 -1/2 (-.f64 x (*.f64 -1 eps)))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))) 1)
(*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 1)
(*.f64 1 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))
(*.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(*.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 3)
(pow.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 2))
(log.f64 (exp.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)))))
(cbrt.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(exp.f64 (log.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 1)
(*.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 1)
(*.f64 1 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))
(*.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(*.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2) (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 1)
(pow.f64 (sqrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2)
(pow.f64 (cbrt.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3)
(pow.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 2))
(log.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(cbrt.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3))
(expm1.f64 (log1p.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(exp.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(exp.f64 (*.f64 (log.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 1))
(log1p.f64 (expm1.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))))) 1)
(/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))))
(/.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) 2)
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) -2)
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) 1) 2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))) -2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) (sqrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))) (sqrt.f64 2))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 2) (cbrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))) (cbrt.f64 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) 1) -2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))))) (sqrt.f64 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 2)) (cbrt.f64 2))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (*.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) 1/2) (-.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) 3) (pow.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) 3)) 1/2) (+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (-.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3) (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (sin.f64 (*.f64 1/2 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (sin.f64 (*.f64 1/2 eps))))
(fma.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps))))
(+.f64 (*.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))))
(+.f64 (fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (+.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 -1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) 1/48)))))
(+.f64 (fma.f64 -1/2 (*.f64 x (cos.f64 (*.f64 1/2 eps))) (*.f64 (+.f64 (*.f64 -1/8 (*.f64 x x)) 1) (sin.f64 (*.f64 1/2 eps)))) (*.f64 (pow.f64 x 3) (*.f64 1/48 (cos.f64 (*.f64 1/2 eps)))))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps x)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps x)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps x)))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
(sin.f64 (*.f64 1/2 (-.f64 eps x)))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 -1 x))))
(sin.f64 (*.f64 -1/2 (-.f64 x eps)))
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(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) 2))
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) 1) -2)
(*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x))))))
(*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x))))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 2)) (cbrt.f64 2))
(/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) 2) (/.f64 (cbrt.f64 2) (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x))))))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) 2) (cbrt.f64 2)) (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))))
(*.f64 (/.f64 (cbrt.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))) (cbrt.f64 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))) 2))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (*.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))))) 1/2) (-.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))
(/.f64 (-.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x))))) (*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))) (/.f64 (-.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x))))) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x))))) (*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))) (-.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))))) 1/2)
(*.f64 (/.f64 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x))))) (/.f64 (-.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x))))) (-.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x))))))) 1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) 3) (pow.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) 3)) 1/2) (+.f64 (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (-.f64 (*.f64 (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))) (*.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(/.f64 (*.f64 1/2 (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) 3))) (fma.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (-.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x))))))))
(/.f64 1/2 (/.f64 (fma.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (-.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (+.f64 (-.f64 x eps) (+.f64 eps x)))) 3))))
(*.f64 (/.f64 1/2 (fma.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))) (-.f64 (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))) (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))))))) (+.f64 (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) 3) (pow.f64 (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))) 3)))
(pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 1)
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 2)
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 3)
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3) 1/3)
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 2))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(log.f64 (pow.f64 (exp.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (*.f64 (-.f64 x eps) -1/2))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2))) 3))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3) (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3)))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 (*.f64 (+.f64 x eps) -1/2)) 3) (pow.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) 3)))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))) 1))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (-.f64 x eps) -1/2)) (cos.f64 (*.f64 (+.f64 x eps) -1/2)))))
(*.f64 (sin.f64 (*.f64 -1/2 (-.f64 x eps))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))
(*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 -1/2 (+.f64 eps x))))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (*.f64 (cos.f64 x) eps))
0.1b
(*.f64 (cos.f64 x) eps)
0.3b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
Compiler

Compiled 23 to 8 computations (65.2% saved)

series8.0ms (0.1%)

Counts
2 → 20
Calls

12 calls:

TimeVariablePointExpression
4.0ms
eps
@-inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.0ms
eps
@0
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
0.0ms
x
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
0.0ms
eps
@inf
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)

rewrite61.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1592×add-sqr-sqrt
1574×*-un-lft-identity
1458×add-cube-cbrt
1440×add-cbrt-cube
1424×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01026
120026
2203626
Stop Event
node limit
Counts
2 → 53
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (*.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 *.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 (*.f64 (cos.f64 x) eps) 1)))) (#(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 1 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(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 (cos.f64 x)) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.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 (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 (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 (*.f64 (cos.f64 x) eps)) (*.f64 (cbrt.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 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))))) (#(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 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.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 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 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))))))

simplify64.0ms (0.5%)

Algorithm
egg-herbie
Rules
1800×distribute-lft-in
1774×distribute-rgt-in
828×fma-def
818×unswap-sqr
624×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01571597
13561499
213001423
340451409
Stop Event
node limit
Counts
73 → 94
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(*.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))
(sqrt.f64 eps)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 -1/720 eps) (*.f64 -1/4 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 1 (*.f64 (cos.f64 x) eps))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.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 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(*.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 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.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))
(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 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (sqrt.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 -1/2 (*.f64 x x)) eps)
(fma.f64 -1/2 (*.f64 x (*.f64 eps x)) eps)
(+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4))))
(+.f64 eps (fma.f64 (-.f64 (*.f64 eps 5/48) (*.f64 eps 1/16)) (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 eps -1/2))))
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 4) eps))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 (-.f64 (+.f64 (*.f64 1/16 eps) (*.f64 1/24 eps)) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (-.f64 (*.f64 eps 5/48) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))))
(+.f64 (fma.f64 (-.f64 (*.f64 eps 5/48) (*.f64 eps 1/16)) (pow.f64 x 4) (*.f64 (*.f64 x x) (*.f64 eps -1/2))) (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 -1/2 (*.f64 x x)) (fma.f64 (*.f64 eps 1/24) (pow.f64 x 4) 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))
(sqrt.f64 eps)
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (sqrt.f64 eps))
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (sqrt.f64 eps))
(fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 eps))) (sqrt.f64 eps))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/4) 1) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (+.f64 1 (*.f64 (*.f64 x x) -1/4)))
(+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps)))
(fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 eps))) (fma.f64 1/2 (*.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps 1/24) (*.f64 eps 1/16)))) (sqrt.f64 eps)))
(fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 4) (*.f64 eps -1/48))) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/4) 1) (sqrt.f64 eps)))
(fma.f64 (*.f64 x x) (*.f64 -1/4 (sqrt.f64 eps)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 eps -1/48)) (*.f64 (pow.f64 x 4) 1/2) (sqrt.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 -1/720 eps) (*.f64 -1/4 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (pow.f64 x 6)))) (+.f64 (*.f64 -1/4 (*.f64 (sqrt.f64 eps) (pow.f64 x 2))) (+.f64 (*.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (-.f64 (*.f64 1/24 eps) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)) (pow.f64 x 4)))) (sqrt.f64 eps))))
(fma.f64 1/2 (*.f64 (*.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps -1/720) (*.f64 -1/4 (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2))))) (pow.f64 x 6)) (fma.f64 -1/4 (*.f64 (*.f64 x x) (sqrt.f64 eps)) (fma.f64 1/2 (*.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 (pow.f64 x 4) (-.f64 (*.f64 eps 1/24) (pow.f64 (*.f64 -1/4 (sqrt.f64 eps)) 2)))) (sqrt.f64 eps))))
(fma.f64 1/2 (*.f64 (pow.f64 x 6) (*.f64 (sqrt.f64 (/.f64 1 eps)) (fma.f64 eps -1/720 (*.f64 (-.f64 (*.f64 eps 1/24) (*.f64 eps 1/16)) 1/4)))) (fma.f64 -1/4 (*.f64 x (*.f64 x (sqrt.f64 eps))) (fma.f64 1/2 (*.f64 (pow.f64 x 4) (*.f64 (sqrt.f64 (/.f64 1 eps)) (-.f64 (*.f64 eps 1/24) (*.f64 eps 1/16)))) (sqrt.f64 eps))))
(fma.f64 (*.f64 (pow.f64 x 6) (fma.f64 (*.f64 eps -1/48) 1/4 (*.f64 eps -1/720))) (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (fma.f64 (sqrt.f64 (/.f64 1 eps)) (*.f64 1/2 (*.f64 (pow.f64 x 4) (*.f64 eps -1/48))) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/4) 1) (sqrt.f64 eps))))
(+.f64 (*.f64 (sqrt.f64 eps) (+.f64 1 (*.f64 (*.f64 x x) -1/4))) (*.f64 (*.f64 1/2 (sqrt.f64 (/.f64 1 eps))) (+.f64 (*.f64 (pow.f64 x 6) (fma.f64 -1/4 (*.f64 eps 1/48) (*.f64 eps -1/720))) (*.f64 (pow.f64 x 4) (*.f64 eps -1/48)))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(-.f64 (+.f64 1 (*.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 (*.f64 (cos.f64 x) eps) 1)
(*.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 1 (*.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.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 (cos.f64 x)) (*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.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 (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 (*.f64 (cos.f64 x) eps)) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(*.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 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4)) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(*.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 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (cos.f64 x))) (sqrt.f64 eps))
(*.f64 (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (*.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(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))
(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 (+.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 1 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) (pow.f64 (*.f64 (cos.f64 x) eps) 1/4))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (sqrt.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 1/2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (fabs.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/2)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 1)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 1/4) 2)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 3)
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2))
(fabs.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1/2))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))) 1))
(sqrt.f64 (*.f64 eps (cos.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps))))
(sqrt.f64 (*.f64 eps (cos.f64 x)))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.2b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
2.0b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 34 to 13 computations (61.8% saved)

series2.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite103.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1004×unswap-sqr
804×swap-sqr
562×associate-*r/
558×distribute-rgt-in
522×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01452
128152
2337752
Stop Event
node limit
Counts
2 → 65
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cos.f64 x) (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) -1)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) 1) 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simplify175.0ms (1.3%)

Algorithm
egg-herbie
Rules
1404×fma-def
1174×associate-/l*
942×unswap-sqr
812×+-commutative
750×*-commutative
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
02224229
15854201
220384107
355584095
Stop Event
node limit
Counts
97 → 135
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 -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 (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 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(+.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 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) -1) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) -1))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) -1)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(*.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 2)
(/.f64 (*.f64 1 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps)))) 2)
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 1) 2)
(pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (fma.f64 -1/2 (*.f64 x x) 1) (sin.f64 eps) (fma.f64 (cos.f64 eps) x (neg.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)))
(+.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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.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)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (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))))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
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(*.f64 eps (cos.f64 x))
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(*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
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(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) -1)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
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(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)
(*.f64 (sin.f64 eps) (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)
(*.f64 (sin.f64 eps) (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)
(*.f64 (sin.f64 eps) (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (cos.f64 x) 3)))
(*.f64 (sin.f64 eps) (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))
(*.f64 (sin.f64 eps) (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (sin.f64 eps) (cos.f64 x))

eval486.0ms (3.6%)

Compiler

Compiled 27203 to 13859 computations (49.1% saved)

prune371.0ms (2.8%)

Pruning

75 alts after pruning (66 fresh and 9 done)

PrunedKeptTotal
New96730997
Fresh143650
Picked011
Done3811
Total984751059
Error
0.0b
Counts
1059 → 75
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
15.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 -1/6 (/.f64 -2 (*.f64 eps eps)))))
17.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (+.f64 (cos.f64 eps) 1) 2)))
0.3b
(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) (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
35.7b
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
38.5b
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)
49.4b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
35.9b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
36.2b
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
20.3b
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
37.1b
(/.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)
20.1b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
36.8b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
37.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
36.8b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
47.0b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
42.8b
(+.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))))
0.4b
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.4b
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.4b
(+.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
17.3b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))
29.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
29.1b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
1.4b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
39.5b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x)))))) 2))
0.3b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
27.8b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
0.4b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
32.2b
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))
35.7b
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
0.4b
(+.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.3b
(+.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
15.8b
(+.f64 (*.f64 (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
38.0b
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
37.0b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps x)) x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
61.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
50.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (/.f64 (/.f64 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
60.8b
(+.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))
47.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 eps)))
37.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
37.7b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
47.8b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
38.6b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x x))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
38.1b
(+.f64 (sin.f64 (*.f64 1/2 0)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
0.5b
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
18.2b
(+.f64 (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
48.8b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
49.7b
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
49.8b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
35.6b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
35.9b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
37.1b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
50.1b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
43.7b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
16.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.4b
(*.f64 (cos.f64 x) eps)
35.6b
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
37.5b
(*.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
38.0b
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
53.2b
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
29.0b
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
28.9b
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
59.6b
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
59.2b
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
37.2b
(*.f64 2 (*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
28.8b
(sin.f64 eps)
25.8b
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
47.8b
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
40.4b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
48.0b
eps
Compiler

Compiled 1262 to 877 computations (30.5% saved)

regimes228.0ms (1.7%)

Counts
114 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
(+.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 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(+.f64 (sin.f64 (*.f64 1/2 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 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 2 (*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps 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 x x) (neg.f64 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)))))
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(*.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(/.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 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(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))
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (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)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log1p.f64 (expm1.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 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 -1/6 (/.f64 -2 (*.f64 eps 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 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.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))))
(+.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 (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 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))))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (log.f64 (+.f64 1 (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 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(+.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 (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 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.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 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (/.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (fma.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (-.f64 eps x)) (*.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 eps x)))))) 2))
(+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.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 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (sin.f64 x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(-.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (sin.f64 x))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
Calls

3 calls:

97.0ms
x
61.0ms
eps
29.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1924 to 847 computations (56% saved)

regimes175.0ms (1.3%)

Counts
96 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
(+.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 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(+.f64 (sin.f64 (*.f64 1/2 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 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 2 (*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps 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 x x) (neg.f64 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)))))
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(*.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(/.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 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(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))
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (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)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log1p.f64 (expm1.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 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 -1/6 (/.f64 -2 (*.f64 eps 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 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.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))))
(+.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 (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(+.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (-.f64 -1 (cos.f64 eps)) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 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))))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log.f64 (+.f64 0 (cos.f64 eps))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) -1)))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

43.0ms
eps
43.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1403 to 649 computations (53.7% saved)

regimes137.0ms (1%)

Counts
72 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
(+.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 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(+.f64 (sin.f64 (*.f64 1/2 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 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 2 (*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps 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 x x) (neg.f64 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)))))
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(*.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(/.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 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(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))
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (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)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log1p.f64 (expm1.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 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (-.f64 (+.f64 (cos.f64 eps) 1) 2) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (+.f64 -1/6 (/.f64 -2 (*.f64 eps 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 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

60.0ms
x
32.0ms
eps
19.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1018 to 490 computations (51.9% saved)

regimes173.0ms (1.3%)

Counts
66 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
(+.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 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.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 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(+.f64 (sin.f64 (*.f64 1/2 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 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 2 (*.f64 1/2 (+.f64 (sin.f64 (*.f64 -1/2 (-.f64 (-.f64 x eps) (+.f64 eps x)))) (sin.f64 (*.f64 -1/2 (-.f64 x (-.f64 (-.f64 eps eps) x)))))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (-.f64 eps (+.f64 eps 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 x x) (neg.f64 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)))))
(+.f64 (sin.f64 (*.f64 1/2 (/.f64 (*.f64 (*.f64 x -2) (*.f64 x 4)) (*.f64 x 4)))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(*.f64 2 (/.f64 1 (/.f64 2 (+.f64 (sin.f64 (-.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2))) (sin.f64 (+.f64 (*.f64 (-.f64 x eps) -1/2) (*.f64 (+.f64 x eps) -1/2)))))))
(/.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 (*.f64 (*.f64 eps (+.f64 x eps)) x) eps) (+.f64 x eps))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(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))
(fabs.f64 (+.f64 (sin.f64 (neg.f64 x)) (sin.f64 (*.f64 eps 1))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (fabs.f64 (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (fabs.f64 (sin.f64 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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 (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)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log1p.f64 (expm1.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 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
Outputs
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
Calls

3 calls:

74.0ms
eps
27.0ms
x
17.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.3b1x
16.3b1eps
16.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 931 to 453 computations (51.3% saved)

regimes139.0ms (1%)

Counts
26 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(*.f64 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 eps -1/2))))
(+.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 2 (*.f64 (sin.f64 (*.f64 (*.f64 -2 (-.f64 x eps)) 1/4)) (cos.f64 (*.f64 (*.f64 -2 (+.f64 eps x)) 1/4))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

76.0ms
eps
32.0ms
x
19.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
17.2b3x
15.6b3eps
16.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 292 to 177 computations (39.4% saved)

bsearch84.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
5.756411579538738e-11
2825858.8887940673
42.0ms
-2964.6564604206255
-0.0005084487765354829
Results
32.0ms197×body256valid
31.0ms65×body1024valid
8.0ms12×body2048valid
8.0ms30×body512valid
Compiler

Compiled 470 to 333 computations (29.1% saved)

regimes72.0ms (0.5%)

Counts
18 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 eps))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 (*.f64 -3 x) x))) (sin.f64 x))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 eps 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (neg.f64 eps)))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (*.f64 x -3)))) (sin.f64 (+.f64 x eps)))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

28.0ms
x
24.0ms
eps
16.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
17.2b3x
15.6b3eps
16.4b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 166 to 99 computations (40.4% saved)

bsearch86.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
44.0ms
5.756411579538738e-11
2825858.8887940673
42.0ms
-2964.6564604206255
-0.0005084487765354829
Results
31.0ms76×body1024valid
31.0ms188×body256valid
12.0ms16×body2048valid
7.0ms24×body512valid
Compiler

Compiled 432 to 314 computations (27.3% saved)

regimes124.0ms (0.9%)

Counts
12 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 -1/2 (*.f64 x (*.f64 eps x))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.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 2 (*.f64 (sin.f64 (*.f64 -1/2 x)) (cos.f64 (*.f64 -1/2 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.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:

51.0ms
eps
50.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20.0ms
x
Results
ErrorSegmentsBranch
17.2b3x
15.7b3eps
16.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 97 to 59 computations (39.2% saved)

bsearch135.0ms (1%)

Algorithm
binary-search
Steps
TimeLeftRight
94.0ms
5.756411579538738e-11
2825858.8887940673
41.0ms
-2964.6564604206255
-0.0005084487765354829
Results
51.0ms40×body512valid
38.0ms88×body1024valid
32.0ms163×body256valid
10.0ms13×body2048valid
Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes33.0ms (0.2%)

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

2 calls:

18.0ms
x
13.0ms
eps
Results
ErrorSegmentsBranch
17.6b3x
16.2b3eps
Compiler

Compiled 40 to 24 computations (40% saved)

bsearch122.0ms (0.9%)

Algorithm
binary-search
Steps
TimeLeftRight
71.0ms
5.756411579538738e-11
2825858.8887940673
51.0ms
-13506833.841825781
-2964.6564604206255
Results
41.0ms62×body1024valid
36.0ms11×body2048valid
32.0ms181×body256valid
10.0ms34×body512valid
Compiler

Compiled 230 to 172 computations (25.2% saved)

regimes8.0ms (0.1%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
28.8b1x
28.8b1eps
Compiler

Compiled 29 to 17 computations (41.4% saved)

regimes23.0ms (0.2%)

Accuracy

Total -2.0b remaining (-4.2%)

Threshold costs -2.0b (-4.2%)

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

2 calls:

18.0ms
eps
3.0ms
x
Results
ErrorSegmentsBranch
48.0b1x
48.0b1eps
Compiler

Compiled 27 to 16 computations (40.7% saved)

simplify14.0ms (0.1%)

Algorithm
egg-herbie
Rules
32×*-commutative
20×+-commutative
sub-neg
if-if-or-not
neg-mul-1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
072428
1111428
2118428
3122428
4124428
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -7839866231326559/9223372036854775808) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 208967022709991/144115188075855872) (+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2824657686286775/1152921504606846976) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2674777890687885/9223372036854775808) (*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8070450532247929/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4842270319348757/2305843009213693952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3000) (sin.f64 eps) (if (<=.f64 eps 6788401819125115/590295810358705651712) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.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))))))
(if (<=.f64 eps -7839866231326559/9223372036854775808) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 208967022709991/144115188075855872) (+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -7839866231326559/9223372036854775808) (not (<=.f64 eps 208967022709991/144115188075855872))) (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))) (*.f64 eps (cos.f64 x))))
(if (<=.f64 eps -2824657686286775/1152921504606846976) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2674777890687885/9223372036854775808) (*.f64 eps (+.f64 (*.f64 (*.f64 (sin.f64 x) eps) -1/2) (cos.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -2824657686286775/1152921504606846976) (not (<=.f64 eps 2674777890687885/9223372036854775808))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))))
(if (<=.f64 eps -8070450532247929/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 4842270319348757/2305843009213693952) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -8070450532247929/4611686018427387904) (not (<=.f64 eps 4842270319348757/2305843009213693952))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -3000) (sin.f64 eps) (if (<=.f64 eps 6788401819125115/590295810358705651712) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -3000) (sin.f64 eps) (if (<=.f64 eps 6788401819125115/590295810358705651712) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 167 to 115 computations (31.1% saved)

soundness113.0ms (0.8%)

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)

end162.0ms (1.2%)

Compiler

Compiled 149 to 73 computations (51% saved)

Profiling

Loading profile data...