Details

Time bar (total: 13.8s)

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)

sample4.7s (33.7%)

Results
2.1s3614×body1024valid
1.6s1255×body2048valid
573.0ms1397×body512valid
425.0ms1986×body256valid
5.0msbody4096valid
Bogosity

preprocess17.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 11 to 8 computations (27.3% saved)

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))

eval1.0ms (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
57.09%
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.82%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
5.64%
(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))

rewrite88.0ms (0.6%)

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)))))))

simplify171.0ms (1.2%)

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))

eval113.0ms (0.8%)

Compiler

Compiled 6859 to 2143 computations (68.8% saved)

prune87.0ms (0.6%)

Pruning

36 alts after pruning (35 fresh and 1 done)

PrunedKeptTotal
New23935274
Fresh000
Picked011
Done000
Total23936275
Error
0.25%
Counts
275 → 36
Alt Table
Click to see full alt table
StatusErrorProgram
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
48.76%
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
48.86%
(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))))))
57.83%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
57.21%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.74%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
58.26%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
40.44%
(-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
35.73%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
59.1%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
58.29%
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
57.09%
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
95.52%
(-.f64 (sin.f64 x) (sin.f64 x))
58.35%
(-.f64 (sin.f64 eps) (sin.f64 x))
57.12%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
68.97%
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
76.26%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
36.72%
(+.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)))
35.73%
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
46.16%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
62.89%
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
0.65%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
48.79%
(+.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)))))
48.86%
(+.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))))))
49.38%
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
48.79%
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
57.23%
(+.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)))))
21.52%
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
48.26%
(*.f64 (cos.f64 x) eps)
57.16%
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
68.66%
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
68.62%
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
76.87%
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
57.89%
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
63.14%
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 1145 to 758 computations (33.8% saved)

localize39.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.01%
(sin.f64 eps)
0.24%
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
0.32%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
2.55%
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts
4 → 64
Calls

18 calls:

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

rewrite97.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01474
128774
2353274
Stop Event
node limit
Counts
4 → 204
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(sin.f64 eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 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(pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))))

simplify175.0ms (1.3%)

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

Useful iterations: 1 (0.0ms)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

NewErrorProgram
0.23%
(*.f64 (cos.f64 x) eps)
Compiler

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite48.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

simplify83.0ms (0.6%)

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))

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.94%
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
5.64%
(sin.f64 (+.f64 eps x))
Compiler

Compiled 26 to 7 computations (73.1% saved)

series1.0ms (0%)

Counts
2 → 28
Calls

12 calls:

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

rewrite123.0ms (0.9%)

Algorithm
batch-egg-rewrite
Rules
1016×*-commutative
830×associate-*r/
668×distribute-lft-in
648×associate-*l/
644×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01036
122332
2316632
Stop Event
node limit
Counts
2 → 146
Calls
Call 1
Inputs
(sin.f64 (+.f64 eps x))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))) (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))) (cbrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (+.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 eps x)) (+.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 eps x)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 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simplify160.0ms (1.2%)

Algorithm
egg-herbie
Rules
1404×associate-+l-
1132×+-commutative
1112×associate-+r-
756×associate--r+
748×fma-def
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
04079516
111428738
255868738
Stop Event
node limit
Counts
174 → 246
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 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 (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 (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (*.f64 -1 x))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5)))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)
(*.f64 (sin.f64 (+.f64 eps x)) 1)
(*.f64 1 (sin.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(*.f64 -1 (neg.f64 (sin.f64 (+.f64 eps x))))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))) (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (sin.f64 (+.f64 eps x))))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)
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(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) 1) (-.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.f64 (/.f64 (-.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 (+.f64 eps x)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (/.f64 (-.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 (+.f64 eps x)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
Outputs
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) -1/6))))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (neg.f64 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))))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (*.f64 -1 x))
(+.f64 (neg.f64 x) (fabs.f64 (sin.f64 (+.f64 x eps))))
(-.f64 (sin.f64 (+.f64 x eps)) x)
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 -1 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (fma.f64 1/6 (pow.f64 x 3) (neg.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (pow.f64 x 3) 1/6 (neg.f64 x)))
(+.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (fabs.f64 (sin.f64 (+.f64 x eps))) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (*.f64 -1/120 (pow.f64 x 5)))))
(+.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (pow.f64 x 3) 1/6 (fma.f64 -1/120 (pow.f64 x 5) (neg.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (sin.f64 (+.f64 eps x)) 1)
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 1 (sin.f64 (+.f64 eps x)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 -1 (neg.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (neg.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)) (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (fabs.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))) (fabs.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2)))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (*.f64 (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))) (cbrt.f64 (neg.f64 (sin.f64 (+.f64 eps x)))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(*.f64 (neg.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))) (cbrt.f64 (sin.f64 (+.f64 eps x))))
(sin.f64 (-.f64 x (neg.f64 eps)))
(sin.f64 (+.f64 x eps))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (-.f64 (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (cos.f64 eps) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps))) (/.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
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(/.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) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.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) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (pow.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(*.f64 (/.f64 (+.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 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (pow.f64 (sin.f64 x) 4))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 4) (fma.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (pow.f64 (sin.f64 x) 6)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (fma.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 6)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (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)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.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) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.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 (+.f64 eps x)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.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) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (/.f64 (-.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 (+.f64 eps x)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.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) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3) 1/3)
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fma.f64 1 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (-.f64 x (neg.f64 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.29%
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.42%
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
5.64%
(sin.f64 (+.f64 x eps))
6.73%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series3.0ms (0%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@0
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@inf
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@-inf
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@inf
(expm1.f64 (sin.f64 (+.f64 x eps)))

rewrite90.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1064×*-commutative
868×associate-*r/
736×distribute-lft-in
714×distribute-rgt-in
682×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
123947
2310847
Stop Event
node limit
Counts
3 → 174
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (sin.f64 (+.f64 x eps)))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.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 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1)) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1)) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1) 1) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))))

simplify179.0ms (1.3%)

Algorithm
egg-herbie
Rules
1332×associate-+l-
1186×associate-+r-
964×fma-def
710×associate-*r*
608×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052911836
1150211378
2694611378
Stop Event
node limit
Counts
246 → 322
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
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(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) 1) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (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)) (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)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)) (cos.f64 (/.f64 (+.f64 x (-.f64 eps x)) 2))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(+.f64 (*.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))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 0)
(+.f64 1 (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) -1))
(+.f64 1 (-.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1))
(+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) -1)
(+.f64 -1 (exp.f64 (sin.f64 (+.f64 x eps))))
(-.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(-.f64 (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) 2)
(*.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))
(/.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1)) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1)) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) 1) 1) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))
(pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (*.f64 (sin.f64 eps) 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 (*.f64 (sin.f64 eps) x) x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (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)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
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(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
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(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)))
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(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)
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(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)))))
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(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
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(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))
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(expm1.f64 (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
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(fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
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(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
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(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))))) 1)
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(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))) 1)
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(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
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(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
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(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
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(+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x))
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(fma.f64 2 (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
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(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (sin.f64 x)) (sin.f64 x)))
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(fma.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
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(/.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 (+.f64 x eps)))) (+.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 3) -1) (+.f64 (+.f64 2 (expm1.f64 (sin.f64 (+.f64 eps x)))) (exp.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 3)) (+.f64 2 (+.f64 (expm1.f64 (sin.f64 (+.f64 eps x))) (exp.f64 (*.f64 2 (sin.f64 (+.f64 eps x)))))))
(pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 eps x))) 2))
(fabs.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.18%
(*.f64 (sin.f64 x) (cos.f64 eps))
0.19%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.24%
(*.f64 (cos.f64 x) (sin.f64 eps))
2.67%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series5.0ms (0%)

Counts
4 → 80
Calls

24 calls:

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

rewrite124.0ms (0.9%)

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

Useful iterations: 1 (0.0ms)

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

simplify287.0ms (2.1%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
072620845
1202119843
Stop Event
node limit
Counts
321 → 469
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.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 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) 1/2) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))))
(pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 -1/5040 (cos.f64 eps) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 -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 (*.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)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -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 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.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 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.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)))
(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 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.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)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2)
(*.f64 1/2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 2 (/.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (-.f64 x eps) (+.f64 x eps)) 2)) (cos.f64 (/.f64 (-.f64 (-.f64 x eps) (+.f64 x eps)) 2)))))
(*.f64 1 (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 eps x) (-.f64 x eps)) 2)) (cos.f64 (/.f64 (-.f64 x (+.f64 eps (+.f64 eps x))) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (+.f64 x (-.f64 x eps))) 2)) (cos.f64 (/.f64 (-.f64 x (+.f64 eps (+.f64 eps x))) 2)))
(/.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) (/.f64 2 (sqrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) 2) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (/.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) 2))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) (cbrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))) (/.f64 2 (cbrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))))
(*.f64 (/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (/.f64 2 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))))
(/.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) -2)
(*.f64 1/2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 (*.f64 1 (neg.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))) -2)
(*.f64 1/2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2)))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 1) 2)
(*.f64 1/2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 (*.f64 (neg.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) 1) -2)
(*.f64 1/2 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))
(*.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))) 1/2)
(/.f64 (*.f64 (sqrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sqrt.f64 2))
(/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (/.f64 (sqrt.f64 2) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps))))))
(*.f64 (/.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2)) (cbrt.f64 2))
(/.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) (/.f64 (cbrt.f64 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2)))
(/.f64 (*.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) 1/2) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))))
(/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (/.f64 (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x))) 1/2))
(*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (-.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 eps x)))) 1/2)
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (-.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) 1/2) (-.f64 (+.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (+.f64 x eps)))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (-.f64 x eps)) 3)) (/.f64 (-.f64 (fma.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps)) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (+.f64 eps x)))) (*.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))) 1/2))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (-.f64 x eps)) 3)) (+.f64 (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (sin.f64 (+.f64 eps x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 (-.f64 x eps)))))) 1/2)
(pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1)
(*.f64 (cos.f64 eps) (sin.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3)
(*.f64 (cos.f64 eps) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 1/3)
(*.f64 (cos.f64 eps) (sin.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (cos.f64 eps)))
(*.f64 (cos.f64 eps) (log.f64 (exp.f64 (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3))
(*.f64 (cos.f64 eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 1))
(*.f64 (cos.f64 eps) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))
(*.f64 (cos.f64 eps) (sin.f64 x))

eval666.0ms (4.8%)

Compiler

Compiled 39258 to 14892 computations (62.1% saved)

prune475.0ms (3.4%)

Pruning

61 alts after pruning (57 fresh and 4 done)

PrunedKeptTotal
New1411421453
Fresh151530
Picked011
Done235
Total1428611489
Error
0.06%
Counts
1489 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
55.62%
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
2.38%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
2.4%
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
28.64%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
35.72%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.54%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
0.58%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
47.22%
(fma.f64 (log.f64 (exp.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.68%
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
48.76%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
77.31%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
2.46%
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
57.83%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
49.28%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
26.01%
(/.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))))
57.21%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.74%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
58.26%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
55.49%
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cos.f64 x) (sin.f64 eps))))
35.73%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
59.1%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
94.5%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
35.73%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
59.84%
(-.f64 (sin.f64 (+.f64 x eps)) x)
58.35%
(-.f64 (sin.f64 eps) (sin.f64 x))
95.29%
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
68.9%
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
95.35%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
58.42%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
94.42%
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
77.23%
(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
46.16%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.67%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
28.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
0.84%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
0.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.65%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
20.45%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
22.52%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
46.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
43.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
0.72%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
47.24%
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
48.86%
(+.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))))))
57.23%
(+.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)))))
43.51%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
75.34%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
21.52%
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
48.26%
(*.f64 (cos.f64 x) eps)
45.43%
(sin.f64 eps)
57.16%
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
68.66%
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
68.62%
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
77.79%
(fabs.f64 (sin.f64 (+.f64 eps x)))
57.89%
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
63.14%
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
79.39%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
71.65%
eps
Compiler

Compiled 1794 to 1240 computations (30.9% saved)

localize28.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.29%
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
0.32%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
0.38%
(pow.f64 (sin.f64 eps) 2)
0.59%
(-.f64 -1 (cos.f64 eps))
Compiler

Compiled 58 to 28 computations (51.7% saved)

series10.0ms (0.1%)

Counts
4 → 64
Calls

18 calls:

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

rewrite91.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1762×associate-*r/
1504×associate-*l/
360×add-sqr-sqrt
352×*-un-lft-identity
350×pow1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01796
135480
2446380
Stop Event
node limit
Counts
4 → 138
Calls
Call 1
Inputs
(-.f64 -1 (cos.f64 eps))
(pow.f64 (sin.f64 eps) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -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 -1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 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 (sin.f64 eps) 2) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))))))

simplify104.0ms (0.8%)

Algorithm
egg-herbie
Rules
1288×associate-/l*
672×associate-/r*
644×+-commutative
606×associate-*r*
514×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04287588
110887154
241677062
Stop Event
node limit
Counts
202 → 270
Calls
Call 1
Inputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4))) 2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.f64 (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 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(sin.f64 eps)
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (sin.f64 eps))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (*.f64 -1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(+.f64 -1 (neg.f64 (cos.f64 eps)))
(+.f64 -1 (*.f64 (neg.f64 (cos.f64 eps)) 1))
(+.f64 (neg.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) 1) -1)
(+.f64 (-.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (-.f64 -1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 -1 (cos.f64 eps))))
(*.f64 1 (-.f64 -1 (cos.f64 eps)))
(*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (cos.f64 eps))))
(*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 -1 (cos.f64 eps)))
(/.f64 1 (/.f64 -1 (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (*.f64 -1 (neg.f64 (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 1 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps))))) (+.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 1 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3))) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (*.f64 -1 (neg.f64 (cos.f64 eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2) (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (neg.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) 1) (+.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (neg.f64 (cos.f64 eps)) 3)) 1) (-.f64 (+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (neg.f64 (cos.f64 eps)))) (*.f64 -1 (neg.f64 (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (+.f64 -1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (-.f64 -1 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3))) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (*.f64 (-.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 -1 (cos.f64 eps)))))) (+.f64 1 (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (*.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(pow.f64 (-.f64 -1 (cos.f64 eps)) 1)
(pow.f64 (sqrt.f64 (-.f64 -1 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (-.f64 -1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (-.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 -1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (-.f64 -1 (cos.f64 eps)) 3))
(expm1.f64 (log.f64 (neg.f64 (cos.f64 eps))))
(exp.f64 (log.f64 (-.f64 -1 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (-.f64 -1 (cos.f64 eps))) 1))
(log1p.f64 (expm1.f64 (-.f64 -1 (cos.f64 eps))))
(+.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)))
(+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 2)))
(+.f64 (*.f64 (neg.f64 (cos.f64 eps)) (cos.f64 eps)) 1)
(+.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) 1)
(-.f64 1 (pow.f64 (cos.f64 eps) 2))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)
(-.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))
(*.f64 (sin.f64 eps) (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 2) 1)
(*.f64 1 (pow.f64 (sin.f64 eps) 2))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (pow.f64 (sin.f64 eps) 4)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 4)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 eps) 2))) (cbrt.f64 (sin.f64 eps)))
(/.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 2)
(/.f64 (*.f64 1 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 1 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 1 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) 1) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) 1) 2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 4))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))
(exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))) 1)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 1)
(pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
Outputs
-2
(-.f64 (*.f64 1/2 (pow.f64 eps 2)) 2)
(fma.f64 1/2 (*.f64 eps eps) -2)
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/24 (pow.f64 eps 4))) 2)
(+.f64 (fma.f64 1/2 (*.f64 eps eps) (*.f64 -1/24 (pow.f64 eps 4))) -2)
(fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) -2))
(-.f64 (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/24 (pow.f64 eps 4)) (*.f64 1/720 (pow.f64 eps 6)))) 2)
(+.f64 (fma.f64 1/2 (*.f64 eps eps) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6)))) -2)
(+.f64 (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6))) (fma.f64 1/2 (*.f64 eps eps) -2))
(+.f64 (fma.f64 1/2 (*.f64 eps eps) -2) (fma.f64 -1/24 (pow.f64 eps 4) (*.f64 1/720 (pow.f64 eps 6))))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(*.f64 -1 (+.f64 (cos.f64 eps) 1))
(-.f64 -1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/3))
(fma.f64 (pow.f64 eps 4) -1/3 (*.f64 eps eps))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 x) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 x) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (-.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 1)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 2)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 3)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3) 1/3)
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))
(fabs.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))) 3))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))) 1))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))) 1)
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (pow.f64 (cos.f64 eps) 4))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (pow.f64 (cos.f64 eps) 4)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (sin.f64 x))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))
(/.f64 (*.f64 (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 2)) (-.f64 1 (pow.f64 (cos.f64 eps) 4))))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (pow.f64 (cos.f64 eps) 4)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (sin.f64 x) (/.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))))
(*.f64 (/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))) (sin.f64 x))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)
(/.f64 (-.f64 (cos.f64 0) (cos.f64 (+.f64 eps eps))) (/.f64 2 (sin.f64 x)))
(*.f64 (/.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 (+.f64 eps eps))))
(pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 1)
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 3)
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3) 1/3)
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 eps) 4)))
(sqrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 4) (pow.f64 (sin.f64 x) 2)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 3) (pow.f64 (sin.f64 x) 3)))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (pow.f64 (sin.f64 eps) 2) 3)))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
(log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.01%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
0.01%
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
14.48%
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series5.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite77.0ms (0.6%)

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

Useful iterations: 1 (0.0ms)

IterNodesCost
0957
119453
2258153
Stop Event
node limit
Counts
3 → 113
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))))))
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(cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))))

simplify105.0ms (0.8%)

Algorithm
egg-herbie
Rules
1556×associate-/r*
1196×associate-*r/
960×associate-*l/
442×distribute-lft-neg-in
420×associate-/r/
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
03127857
18237495
234127495
Stop Event
node limit
Counts
185 → 185
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 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (*.f64 x x)))) 1)
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(cbrt.f64 (*.f64 (pow.f64 x 6) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) 1)
(pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 1)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 1/3)
(sqrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))
(log.f64 (pow.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)) -1/2))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) (-.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))
(-.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (/.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))) 1)
(-.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (exp.f64 (log1p.f64 eps))) 1)
(*.f64 eps (+.f64 1 (*.f64 (*.f64 x x) -1/2)))
(*.f64 eps (+.f64 (*.f64 (*.f64 x x) -1/2) 1))
(*.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 1)
(*.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))
(*.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(*.f64 (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))
(*.f64 (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(*.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))
(*.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (-.f64 (pow.f64 eps 4) (pow.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)) 2))) (+.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)) 3))) (+.f64 (pow.f64 eps 4) (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)) (*.f64 eps eps)))))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))) (*.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3) 1/6))
(/.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) (/.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))
(/.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (/.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (/.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))))
(/.f64 (sqrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (/.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))) (sqrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (/.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (cbrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))) (/.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))) (cbrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 eps eps)) (-.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) eps))
(/.f64 (-.f64 (pow.f64 eps 6) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 6)) (*.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 4)) (*.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 3)) (*.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))) (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (pow.f64 eps 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) 3)) (*.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))) (+.f64 (+.f64 (pow.f64 eps 4) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) 2))))
(/.f64 (neg.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (neg.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (neg.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (sqrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) (sqrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))) (sqrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (cbrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2) (cbrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)))) (cbrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 eps eps)) 1) (-.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) eps))
(/.f64 (*.f64 (neg.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) 1) (neg.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) 1) (neg.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (sqrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) (sqrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)) (cbrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4))) (pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)) (cbrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 4)) (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))) (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) 3)) (/.f64 1 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))) (+.f64 (+.f64 (pow.f64 eps 4) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 4)) (pow.f64 (*.f64 -1/2 (pow.f64 (*.f64 eps x) 2)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 6) (pow.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) 6)) (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 3)) (/.f64 1 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))) (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (pow.f64 eps 3)))))
(/.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) 1) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))
(/.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (sqrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))) (sqrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (*.f64 (cbrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (cbrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))) (cbrt.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))
(/.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (+.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (*.f64 x (sqrt.f64 (*.f64 eps -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) 1) (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (sqrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))) (sqrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (*.f64 (cbrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))) (cbrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))) (cbrt.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2)))))
(pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3) 1/3)
(neg.f64 (/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (neg.f64 (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (neg.f64 (fma.f64 eps eps (+.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (*.f64 (pow.f64 (*.f64 eps x) 2) 1/2))))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 2))
(log.f64 (exp.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(exp.f64 (log.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(fma.f64 (*.f64 eps (*.f64 x x)) -1/2 eps)
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 1 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2))) eps)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 x (*.f64 eps x))
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(*.f64 eps (*.f64 x x))
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)
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(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 -1/2 (*.f64 x (*.f64 eps x)))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.04%
(sqrt.f64 (*.f64 (cos.f64 x) eps))
0.23%
(*.f64 (cos.f64 x) eps)
0.4%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
Compiler

Compiled 23 to 8 computations (65.2% saved)

series6.0ms (0%)

Counts
2 → 20
Calls

12 calls:

TimeVariablePointExpression
1.0ms
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)
1.0ms
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)

rewrite59.0ms (0.4%)

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))))))))

simplify62.0ms (0.4%)

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 4 expressions with local error:

NewErrorProgram
0.93%
(cbrt.f64 (sin.f64 (+.f64 x eps)))
1.03%
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
5.64%
(sin.f64 (+.f64 x eps))
25.53%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
Compiler

Compiled 36 to 12 computations (66.7% saved)

series23.0ms (0.2%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
8.0ms
eps
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
3.0ms
x
@0
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
2.0ms
x
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
2.0ms
x
@-inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
2.0ms
eps
@inf
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))

rewrite96.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
944×associate-*r/
888×distribute-rgt-in
850×distribute-lft-in
796×associate-*l/
268×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01247
126847
2340647
Stop Event
node limit
Counts
3 → 194
Calls
Call 1
Inputs
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(cbrt.f64 (sin.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 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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log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) (pow.f64 (sin.f64 (+.f64 x eps)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))))))

simplify203.0ms (1.5%)

Algorithm
egg-herbie
Rules
1278×associate-*r*
1184×fma-def
998×associate-*l*
762×*-commutative
614×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
068820410
1208219526
Stop Event
node limit
Counts
266 → 343
Calls
Call 1
Inputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))))))))) (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3)) (+.f64 1/6 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))) (sin.f64 x))
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(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(pow.f64 (sin.f64 eps) 1/3)
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(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (+.f64 eps x)) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
(pow.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) 1/3)
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(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))) 1)
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) (pow.f64 (sin.f64 (+.f64 x eps)) 1/6))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (sin.f64 (+.f64 x eps)) 1/3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3)
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1/3))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
Outputs
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps))
(fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps)))
(fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))))))))) (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3)) (+.f64 1/6 (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) 1) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (fma.f64 (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))) (cbrt.f64 (sin.f64 eps)) (+.f64 1/6 (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) -1) x (sin.f64 eps))))
(fma.f64 (+.f64 1/6 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (cos.f64 eps) 3)))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))))))) (fma.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (cos.f64 eps) 3))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))))))))))) (pow.f64 x 3) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)))) (*.f64 x x) (fma.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) -1) x (sin.f64 eps))))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
0
(-.f64 (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))) (sin.f64 x))
(+.f64 (sin.f64 x) (-.f64 (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1)) (sin.f64 x)))
(+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)))) 0)
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))) (sin.f64 x))
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1)))) (sin.f64 x))
(fma.f64 (*.f64 eps eps) (fma.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (cbrt.f64 (sin.f64 x)) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 2/9 (pow.f64 (cos.f64 x) 2))))) (+.f64 (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18)))) 0))
(-.f64 (+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (+.f64 (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/9))) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 x)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/9) (*.f64 (cos.f64 x) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))))) (pow.f64 (*.f64 1 (sin.f64 x)) 1/3))))))))) (sin.f64 x))
(-.f64 (fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (fma.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1) (*.f64 (pow.f64 eps 3) (fma.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))))))) (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18))))) (*.f64 1/3 (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18)))))))))))))) (sin.f64 x))
(fma.f64 (*.f64 eps eps) (fma.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (cbrt.f64 (sin.f64 x)) (fma.f64 1/3 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (*.f64 2/9 (pow.f64 (cos.f64 x) 2))))) (+.f64 (fma.f64 (pow.f64 eps 3) (fma.f64 2/9 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18)))) (fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))) (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 (fma.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 x)))) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 2/3 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/27 (pow.f64 (cos.f64 x) 3))))) (*.f64 (*.f64 (cos.f64 x) (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18))))) (cbrt.f64 (sin.f64 x)) (*.f64 1/3 (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 2/3 (*.f64 (fma.f64 -1/2 (sin.f64 x) (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)))) (*.f64 (cos.f64 x) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18)))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2))) (*.f64 1/27 (pow.f64 (cos.f64 x) 3))))))))) (*.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))))) 0))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (sin.f64 eps))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (sin.f64 eps))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps))))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)))) (*.f64 x x) (sin.f64 eps)))
(+.f64 (*.f64 (+.f64 (*.f64 2/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 eps) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9)))) x) (+.f64 (*.f64 (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))))))))))) (+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (+.f64 (*.f64 2/9 (*.f64 (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2))))) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/3))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/9) (*.f64 (cos.f64 eps) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))))))))))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 eps)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 eps)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/9))))) (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/9))))) (pow.f64 x 2)) (*.f64 (pow.f64 1 1/3) (sin.f64 eps)))))
(fma.f64 (*.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) 1) x (fma.f64 (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))))) (*.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))))))))) (fma.f64 1/3 (*.f64 (cos.f64 eps) (*.f64 (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 2/9 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18)))) (*.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 eps) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (*.f64 2/3 (*.f64 (cos.f64 eps) (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18))))))))))) (pow.f64 x 3) (fma.f64 (+.f64 (*.f64 1/3 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2))))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (/.f64 1 (sin.f64 eps)))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))))) (*.f64 (*.f64 2/9 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))) (*.f64 x x) (sin.f64 eps))))
(fma.f64 (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 eps) 4) 1/18))) x (fma.f64 (pow.f64 x 3) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 eps))) (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (cos.f64 eps) 3)))))) (*.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 8)) 1/18)) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))))))) (fma.f64 1/3 (*.f64 (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18)))) (fma.f64 1/3 (-.f64 (*.f64 (cos.f64 eps) -1/6) (fma.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))))) (*.f64 (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) (*.f64 1/27 (pow.f64 (cos.f64 eps) 3))))) (*.f64 2/9 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 5)) 1/18) (*.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18))))))))))) (fma.f64 (fma.f64 1/3 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 eps)) (fma.f64 1/9 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 4)) 1/18))) (*.f64 (fma.f64 (sin.f64 eps) -1/2 (*.f64 (*.f64 -1/3 (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)))) (*.f64 2/3 (cbrt.f64 (/.f64 1 (sin.f64 eps)))))) (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18) (pow.f64 (/.f64 1 (sin.f64 eps)) 1/18)) (*.f64 (pow.f64 (cos.f64 eps) 2) 2/9)))) (*.f64 x x) (sin.f64 eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 eps (*.f64 -1 x))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 x))
(sin.f64 x)
(+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))))
(+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1)))
(fma.f64 eps (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 (pow.f64 (*.f64 1 (sin.f64 x)) 1/3) (+.f64 (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2)))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))))) (+.f64 (*.f64 2/9 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (/.f64 1 (sin.f64 x)) 1/9))) (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/9) (pow.f64 (cos.f64 x) 2))))))))) (+.f64 (*.f64 (pow.f64 1 1/3) (sin.f64 x)) (*.f64 eps (+.f64 (*.f64 2/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9))) (*.f64 1/3 (*.f64 (cos.f64 x) (pow.f64 (*.f64 1 (pow.f64 (sin.f64 x) 4)) 1/9)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (*.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1))))
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(fma.f64 (*.f64 eps eps) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (fma.f64 2/9 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/3 (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))))) (+.f64 (sin.f64 x) (fma.f64 eps (*.f64 (*.f64 (cos.f64 x) (*.f64 (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18) (pow.f64 (pow.f64 (sin.f64 x) 4) 1/18))) 1) (*.f64 (pow.f64 eps 3) (fma.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))) (fma.f64 1/3 (*.f64 (cos.f64 x) (*.f64 (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 1/9 (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 4)) 1/18))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)) 1/18)))) (fma.f64 (cbrt.f64 (sin.f64 x)) (fma.f64 2/3 (*.f64 (cbrt.f64 (/.f64 1 (sin.f64 x))) (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))))))) (*.f64 2/9 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 8)) 1/18))))) (*.f64 1/3 (-.f64 (*.f64 -1/6 (cos.f64 x)) (fma.f64 1/27 (*.f64 (pow.f64 (cos.f64 x) 3) (cbrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 2)))) (*.f64 2/3 (*.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/3 (*.f64 (*.f64 (pow.f64 (/.f64 1 (sin.f64 x)) 1/18) (pow.f64 (/.f64 1 (sin.f64 x)) 1/18)) (pow.f64 (cos.f64 x) 2))))) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 x) 5)) 1/18))))))))))))))
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(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 eps x)))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 1 1/3) (sin.f64 (-.f64 x (*.f64 -1 eps))))
(sin.f64 (+.f64 eps x))
(pow.f64 (sin.f64 eps) 1/3)
(cbrt.f64 (sin.f64 eps))
(+.f64 (*.f64 1/3 (*.f64 (*.f64 (cos.f64 eps) x) (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/9))) (pow.f64 (sin.f64 eps) 1/3))
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(fma.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (pow.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 2)) 1/18) (*.f64 (cos.f64 eps) x))) (cbrt.f64 (sin.f64 eps)))
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(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (cos.f64 eps) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(fabs.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(sin.f64 (+.f64 eps x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (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 (exp.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))) 1)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(*.f64 1 (cbrt.f64 (sin.f64 (+.f64 x eps))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) (pow.f64 (sin.f64 (+.f64 x eps)) 1/6))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (cbrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3) (pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) (cbrt.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 1)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1/3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 1/6) 2)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3)
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(sqrt.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(log.f64 (exp.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(expm1.f64 (log1p.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 1))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1/3))
(cbrt.f64 (sin.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(cbrt.f64 (sin.f64 (+.f64 eps x)))

localize51.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.17%
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
0.24%
(*.f64 (cos.f64 x) (sin.f64 eps))
0.24%
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
2.55%
(-.f64 (cos.f64 eps) 1)
Compiler

Compiled 64 to 31 computations (51.6% saved)

series5.0ms (0%)

Counts
3 → 32
Calls

15 calls:

TimeVariablePointExpression
1.0ms
x
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
1.0ms
eps
@0
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
1.0ms
eps
@-inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
0.0ms
x
@-inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
0.0ms
eps
@inf
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)

rewrite100.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
956×*-commutative
700×unswap-sqr
562×swap-sqr
536×associate-*r/
448×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01353
126553
2288653
Stop Event
node limit
Counts
3 → 224
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
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 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 (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)) (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)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.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 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(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 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (-.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(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 (pow.f64 (cos.f64 eps) 4) (*.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 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 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(*.f64 (sin.f64 x) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (sin.f64 x)) (+.f64 -1 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.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 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) -1))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))

simplify192.0ms (1.4%)

Algorithm
egg-herbie
Rules
782×associate-*l*
772×associate-*r*
666×associate-+r+
634×associate-/l*
580×associate-+l+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04934294978984
1135611152
2586911058
Stop Event
node limit
Counts
256 → 315
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 (-.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 -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 (pow.f64 eps 2) (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (*.f64 -1/720 (sin.f64 x))) (pow.f64 (*.f64 1/48 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (pow.f64 eps 6)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2)))))
(+.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 (-.f64 (+.f64 (*.f64 1/2304 (/.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))) (*.f64 -1/720 (sin.f64 x))) (pow.f64 (*.f64 1/48 (*.f64 (sqrt.f64 (sin.f64 x)) (/.f64 1 (sqrt.f64 -1/2)))) 2)) (pow.f64 eps 6)) (*.f64 (pow.f64 eps 2) (*.f64 (sin.f64 x) (pow.f64 (sqrt.f64 -1/2) 2))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(+.f64 (cos.f64 eps) -1)
(+.f64 -1 (cos.f64 eps))
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (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)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (+.f64 1 (sqrt.f64 (cos.f64 eps))) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(*.f64 (-.f64 (sqrt.f64 (cos.f64 eps)) 1) (+.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))
(*.f64 (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(*.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(*.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (-.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.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 (pow.f64 (cos.f64 eps) 4) (*.f64 (+.f64 (cos.f64 eps) 1) (-.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6) (pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (+.f64 (cos.f64 eps) -1) 1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (+.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 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (/.f64 (+.f64 (cos.f64 eps) 1) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
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(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1/4) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1/4)))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))
(*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1/4)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1/4))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) -1))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (-.f64 1 (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (pow.f64 (cos.f64 eps) 4) (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (-.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (+.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 (pow.f64 (cos.f64 eps) 4) (*.f64 (+.f64 (cos.f64 eps) 1) (-.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (*.f64 (pow.f64 1 1/2) (pow.f64 1 1/2)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))) (*.f64 (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (cbrt.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (*.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3/2) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3/2))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 1/4) (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 1/4))
(*.f64 (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/6) (pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/6))
(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(/.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x)))
(/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (+.f64 -1 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (sin.f64 x)) (+.f64 -1 (neg.f64 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (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))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) -1))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) -1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.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 (-.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 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) -1/6)))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.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 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.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 (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 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
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(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) -1))))
(/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 2))) (/.f64 (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (fma.f64 (cos.f64 eps) (cos.f64 eps) -1)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (sqrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sin.f64 x))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (cos.f64 eps) (fma.f64 (cos.f64 eps) (cos.f64 eps) 1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) -1))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) -1)))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 x) (sin.f64 x))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 x)) 1)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 x) -1)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (-.f64 (*.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1) (+.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(/.f64 (*.f64 (+.f64 1 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (expm1.f64 (*.f64 2 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (+.f64 1 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(fabs.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

eval907.0ms (6.6%)

Compiler

Compiled 41406 to 21887 computations (47.1% saved)

prune631.0ms (4.6%)

Pruning

68 alts after pruning (60 fresh and 8 done)

PrunedKeptTotal
New1316171333
Fresh94352
Picked011
Done178
Total1326681394
Error
0.04%
Counts
1394 → 68
Alt Table
Click to see full alt table
StatusErrorProgram
2.38%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
28.64%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.65%
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
35.72%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
20.16%
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3) 1/3) (-.f64 -1 (cos.f64 eps))))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.68%
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
48.76%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
77.65%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))) 2)
77.31%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
88.8%
(pow.f64 (sqrt.f64 eps) 2)
2.46%
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
86.19%
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
57.83%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
49.28%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
26.01%
(/.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))))
75.69%
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
57.21%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.74%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
80.89%
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
58.26%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
95.34%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
59.07%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
55.49%
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cos.f64 x) (sin.f64 eps))))
35.73%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
59.1%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
94.5%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
35.73%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
59.84%
(-.f64 (sin.f64 (+.f64 x eps)) x)
58.35%
(-.f64 (sin.f64 eps) (sin.f64 x))
68.9%
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
95.35%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
58.42%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
94.42%
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
77.23%
(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
46.16%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.67%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
28.66%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
0.84%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
0.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.65%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
20.45%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
22.52%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
46.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
43.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
0.54%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
0.72%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
48.86%
(+.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))))))
57.23%
(+.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)))))
43.51%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
75.17%
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
75.34%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
77.59%
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
60.66%
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
21.52%
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
48.26%
(*.f64 (cos.f64 x) eps)
77.75%
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
45.43%
(sin.f64 eps)
57.16%
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
68.66%
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
68.62%
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
77.79%
(fabs.f64 (sin.f64 (+.f64 eps x)))
57.89%
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
63.14%
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
79.39%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
71.65%
eps
95.52%
0
Compiler

Compiled 1845 to 1270 computations (31.2% saved)

localize30.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.24%
(*.f64 (cos.f64 x) (sin.f64 eps))
0.29%
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
0.38%
(pow.f64 (sin.f64 eps) 2)
0.59%
(+.f64 1 (cos.f64 eps))
Compiler

Compiled 81 to 40 computations (50.6% saved)

series1.0ms (0%)

Counts
2 → 12
Calls

9 calls:

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

rewrite94.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
994×*-commutative
760×unswap-sqr
592×swap-sqr
436×sqr-pow
420×pow-sqr
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01332
126032
2304032
Stop Event
node limit
Counts
2 → 102
Calls
Call 1
Inputs
(+.f64 1 (cos.f64 eps))
(*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cos.f64 eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 2 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))) (hypot.f64 1 (sqrt.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 eps) 4))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))))))

simplify99.0ms (0.7%)

Algorithm
egg-herbie
Rules
1662×associate-/l*
1176×distribute-lft-in
1128×associate-/r*
580×associate-*r/
504×associate-*l/
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03274610
18684228
230844222
Stop Event
node limit
Counts
114 → 189
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x)))))
(+.f64 (*.f64 -1/315 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 2/45 (*.f64 (pow.f64 eps 6) (sin.f64 x))))))
(-.f64 (+.f64 1 (cos.f64 eps)) 0)
(-.f64 (exp.f64 (log.f64 (+.f64 2 (cos.f64 eps)))) 1)
(-.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) (/.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (cos.f64 eps))))
(-.f64 (+.f64 2 (cos.f64 eps)) 1)
(*.f64 1 (+.f64 1 (cos.f64 eps)))
(*.f64 (+.f64 1 (cos.f64 eps)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (-.f64 1 (cos.f64 eps))))
(*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))) (hypot.f64 1 (sqrt.f64 (cos.f64 eps))))
(*.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (+.f64 1 (cos.f64 eps))))
(*.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(*.f64 (/.f64 1 (-.f64 1 (cos.f64 eps))) (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 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))
(*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (pow.f64 (cos.f64 eps) 3))) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) 2))) (+.f64 (pow.f64 (sin.f64 eps) 2) (cos.f64 eps)))
(*.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (pow.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) 3))) (+.f64 1 (+.f64 (-.f64 (pow.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)) 2) (pow.f64 (cos.f64 eps) 2)) (cos.f64 eps))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (cos.f64 eps)))) (*.f64 (sqrt.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (cos.f64 eps)))))
(*.f64 (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2))) (*.f64 (cbrt.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2))))
(*.f64 (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))))) (*.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) (sqrt.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 3/2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 3/2))
(*.f64 (pow.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3) 1/6) (pow.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3) 1/6))
(/.f64 1 (/.f64 1 (+.f64 1 (cos.f64 eps))))
(/.f64 (sin.f64 eps) (/.f64 (-.f64 1 (cos.f64 eps)) (sin.f64 eps)))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 1 (cos.f64 eps)))
(/.f64 (sqrt.f64 (sin.f64 eps)) (/.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 4)))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (/.f64 (-.f64 1 (cos.f64 eps)) (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps)))))
(/.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (/.f64 (-.f64 1 (cos.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))
(/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.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 (+.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 (sin.f64 eps) (sqrt.f64 (sin.f64 eps))) (/.f64 (-.f64 1 (cos.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(/.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (/.f64 (-.f64 1 (cos.f64 eps)) (cbrt.f64 (sin.f64 eps))))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (*.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))) (-.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) (-.f64 (cos.f64 eps) 1))
(/.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (*.f64 (-.f64 1 (cos.f64 eps)) (+.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 1 (pow.f64 (cos.f64 eps) 6)) (pow.f64 (cos.f64 eps) 3))))
(/.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (*.f64 (-.f64 1 (cos.f64 eps)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4)))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (*.f64 (-.f64 1 (cos.f64 eps)) 2))
(/.f64 (*.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) 1)) (-.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))) (sin.f64 eps)) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2) (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) 1) 1) (-.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (+.f64 -1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (/.f64 1 (-.f64 1 (cos.f64 eps)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (/.f64 1 (-.f64 1 (cos.f64 eps)))) 2)
(/.f64 (*.f64 (sin.f64 eps) (hypot.f64 1 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (hypot.f64 1 (sqrt.f64 (cos.f64 eps)))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 2)) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 6)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (*.f64 (+.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (-.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 6)) (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (-.f64 1 (cos.f64 eps)))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (-.f64 1 (cos.f64 eps)))) (sqrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (cbrt.f64 (-.f64 1 (cos.f64 eps))) (cbrt.f64 (-.f64 1 (cos.f64 eps))))) (cbrt.f64 (-.f64 1 (cos.f64 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) 1) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (sqrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))) (cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(pow.f64 (+.f64 1 (cos.f64 eps)) 1)
(pow.f64 (hypot.f64 1 (sqrt.f64 (cos.f64 eps))) 2)
(pow.f64 (cbrt.f64 (+.f64 1 (cos.f64 eps))) 3)
(pow.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3) 1/3)
(neg.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (neg.f64 (-.f64 1 (cos.f64 eps)))))
(neg.f64 (/.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 -1 (neg.f64 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))))
(sqrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 2))
(log.f64 (exp.f64 (+.f64 1 (cos.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 1 (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (+.f64 1 (cos.f64 eps)) 3))
(expm1.f64 (log.f64 (+.f64 2 (cos.f64 eps))))
(exp.f64 (log1p.f64 (cos.f64 eps)))
(log1p.f64 (expm1.f64 (+.f64 1 (cos.f64 eps))))
(fma.f64 1 (cos.f64 eps) 1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) 1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) 1)
(+.f64 (sin.f64 x) (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (cos.f64 eps) 2))))
(+.f64 (sin.f64 x) (*.f64 (neg.f64 (pow.f64 (cos.f64 eps) 2)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))) 1)
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (cos.f64 eps) 4))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (sin.f64 x) (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps)))) 2)
(/.f64 (*.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 4)) (sin.f64 x)) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))
(/.f64 (*.f64 (-.f64 1 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (cos.f64 eps) 4))))
(/.f64 (*.f64 (-.f64 (cos.f64 (-.f64 eps eps)) (cos.f64 (+.f64 eps eps))) (sin.f64 x)) 2)
(pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 1)
(pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) 4))
(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (sin.f64 x) 3)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 2) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(fma.f64 -1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 eps) 2) x))
(*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (*.f64 (pow.f64 (sin.f64 eps) 2) x)))
(fma.f64 -1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 x 3) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 x 7) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 x 5) (pow.f64 (sin.f64 eps) 2))) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(fma.f64 -1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (fma.f64 -1/5040 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (fma.f64 1/120 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (*.f64 (pow.f64 (sin.f64 eps) 2) x))))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 (*.f64 (sin.f64 x) eps) eps)
(+.f64 (*.f64 (pow.f64 eps 2) (sin.f64 x)) (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
(fma.f64 (*.f64 eps eps) (sin.f64 x) (*.f64 -1/3 (*.f64 (pow.f64 eps 4) (sin.f64 x))))
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(log.f64 (pow.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) 3))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (sin.f64 x) 3)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x))

localize13.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.01%
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
0.18%
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
Compiler

Compiled 29 to 17 computations (41.4% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite116.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1000×*-commutative
858×unswap-sqr
620×swap-sqr
456×distribute-lft-in
450×distribute-rgt-in
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0944
119340
2254940
Stop Event
node limit
Counts
2 → 100
Calls
Call 1
Inputs
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 eps (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 -1/2 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simplify163.0ms (1.2%)

Algorithm
egg-herbie
Rules
1746×associate-/r*
1476×associate-*r/
1188×associate-*l/
530×associate-/r/
440×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
02837896
17907332
234807332
Stop Event
node limit
Counts
148 → 179
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) 1)
(pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 1)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))) 3)
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 1/3)
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 eps -1/2))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (-.f64 1 eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) 1)
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(-.f64 (/.f64 eps (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (exp.f64 (log1p.f64 eps))) 1)
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 x x))))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(*.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 1)
(*.f64 1 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(*.f64 (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))
(*.f64 (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)) 2))) (+.f64 (*.f64 eps eps) (*.f64 (*.f64 x (*.f64 x (*.f64 eps 1/2))) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))
(*.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (+.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)) 3))) (+.f64 (pow.f64 eps 4) (*.f64 (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)) (-.f64 (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)) (*.f64 eps eps)))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) eps)
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))) (*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 3/2) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3) 1/6) (pow.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3) 1/6))
(/.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 1 (/.f64 1 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))
(/.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(/.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))))
(/.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) (sqrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (/.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (cbrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))) (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) (cbrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))))
(/.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (*.f64 eps eps)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))
(/.f64 (-.f64 (pow.f64 eps 6) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 6)) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))))
(/.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 4)) (*.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (*.f64 eps eps))))
(/.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 3)) (*.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))) (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (pow.f64 eps 3))))))
(/.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) 3)) (*.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) (+.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) 2) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 4)))))
(/.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (neg.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))) (sqrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2) (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2) (cbrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))) (cbrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (*.f64 eps eps)) 1) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))
(/.f64 (*.f64 (neg.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) 1) (neg.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) 1) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) (sqrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)) (cbrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 4) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 4)) (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (*.f64 eps eps)))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 eps eps) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) 3)) (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) (+.f64 (pow.f64 eps 4) (+.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) 2) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 4))))
(/.f64 (*.f64 (-.f64 (pow.f64 eps 6) (pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 6)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))) (-.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 eps 3) 3) (pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 3)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))) (+.f64 (pow.f64 eps 6) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (-.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) (pow.f64 eps 3)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) 1) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (sqrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) (sqrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (*.f64 (cbrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (cbrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))) (cbrt.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(/.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (+.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (sqrt.f64 eps))) (-.f64 (sqrt.f64 eps) (*.f64 x (sqrt.f64 (*.f64 eps -1/2)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) 1) (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))) (sqrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (*.f64 (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))) (cbrt.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 1)
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 3)
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (neg.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 2))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)
(fma.f64 (*.f64 x (*.f64 eps -1/2)) x eps)
(fma.f64 1 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(fma.f64 1 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (cbrt.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) eps)
Outputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(neg.f64 (*.f64 eps (fma.f64 1/2 (*.f64 x x) -1)))
(*.f64 (fma.f64 1/2 (*.f64 x x) -1) (neg.f64 eps))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(pow.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2)
(pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 2)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))) 3)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(pow.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6) 1/3)
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))
(sqrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4))
(log.f64 (pow.f64 (exp.f64 x) (*.f64 x (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6))
(cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(exp.f64 (log.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 eps x) (*.f64 -1/2 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (-.f64 1 eps))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))) 1)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (expm1.f64 (log1p.f64 eps)))
(-.f64 (/.f64 eps (/.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))) eps)) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4) (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 eps (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))) eps) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4) (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (+.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) 1/2)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (-.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 x))))
(-.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))))) 1)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(-.f64 (+.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (exp.f64 (log1p.f64 eps))) 1)
(-.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (expm1.f64 (log1p.f64 eps)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (*.f64 x x))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 x x)) 1))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 1)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 1 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2) (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(*.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))))
(-.f64 (*.f64 (/.f64 eps (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))) eps) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4) (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (+.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) 1/2)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (-.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 x))))
(*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 -1/2 eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 (*.f64 eps x) (*.f64 -1/2 x)) eps)))))
(*.f64 (/.f64 1 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))) (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)))
(-.f64 (*.f64 (/.f64 eps (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))) eps) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4) (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (+.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) 1/2)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (-.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 x))))
(*.f64 (/.f64 1 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)))) (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 -1/2 eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 (*.f64 eps x) (*.f64 -1/2 x)) eps)))))
(*.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4))) (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))
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(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
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(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 (*.f64 eps x) (*.f64 -1/2 x)) eps)))))
(pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 1)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(pow.f64 (sqrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 2)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(pow.f64 (cbrt.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)) 3)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(pow.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3) 1/3)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(neg.f64 (/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (neg.f64 (-.f64 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x))))))
(-.f64 (*.f64 (/.f64 eps (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))) eps) (/.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4) (-.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (+.f64 eps (*.f64 (*.f64 eps (*.f64 x x)) 1/2)))
(/.f64 (-.f64 (*.f64 eps eps) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (-.f64 eps (*.f64 (*.f64 eps x) (*.f64 -1/2 x))))
(neg.f64 (/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (neg.f64 (fma.f64 eps eps (*.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) (-.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) 1) (fma.f64 eps eps (*.f64 (*.f64 -1/2 eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 6) (pow.f64 eps 3)) (fma.f64 eps eps (*.f64 (*.f64 eps (*.f64 x x)) (*.f64 -1/2 (-.f64 (*.f64 (*.f64 eps x) (*.f64 -1/2 x)) eps)))))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 2))
(sqrt.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 -1/2 eps)) eps) 2))
(fabs.f64 (*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1)))
(fabs.f64 (*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1)))
(log.f64 (exp.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps))))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(cbrt.f64 (pow.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps) 3))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(expm1.f64 (log1p.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(exp.f64 (log.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(log1p.f64 (expm1.f64 (fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 x (*.f64 x (*.f64 eps -1/2)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 (*.f64 x (*.f64 eps -1/2)) x eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 1 eps (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 1 (*.f64 (*.f64 eps -1/2) (*.f64 x x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 2) eps)
(+.f64 eps (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 2))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 4)) (cbrt.f64 (*.f64 (*.f64 eps -1/2) (*.f64 x x))) eps)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (cbrt.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x)))) eps)
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 -1/2 eps))) 4)) (cbrt.f64 (*.f64 (*.f64 eps x) (*.f64 -1/2 x))) eps)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) (*.f64 (*.f64 eps -1/2) (*.f64 x x)))
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (fma.f64 (*.f64 -1/2 x) x 1))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.18%
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
0.23%
(*.f64 (cos.f64 x) eps)
60.78%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
2.0ms
eps
@-inf
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
1.0ms
x
@0
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
1.0ms
x
@-inf
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
0.0ms
eps
@-inf
(pow.f64 (*.f64 (cos.f64 x) eps) 3)

rewrite64.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1668×add-sqr-sqrt
1638×*-un-lft-identity
1538×add-cube-cbrt
1522×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01028
120528
2219628
Stop Event
node limit
Counts
2 → 59
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (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)) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(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 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 sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x 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 exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (*.f64 eps (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (cos.f64 x) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (cos.f64 x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) eps) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (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 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 3) (*.f64 (cos.f64 x) eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))))))

simplify83.0ms (0.6%)

Algorithm
egg-herbie
Rules
1070×distribute-lft-out
1024×fma-def
802×*-commutative
734×distribute-lft-neg-in
728×distribute-rgt-neg-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01811911
14391877
217211823
355911789
Stop Event
node limit
Counts
107 → 94
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(+.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (*.f64 -1/720 (pow.f64 eps 3)) (+.f64 (*.f64 -1/24 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 1 (*.f64 (cos.f64 x) eps))
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (cbrt.f64 (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)) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 x) eps))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3))
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1/3))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))) 1)
(*.f64 (cos.f64 x) (*.f64 eps (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(*.f64 eps (*.f64 (cos.f64 x) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1)
(*.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (cos.f64 x) eps))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (cos.f64 x)) eps)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) eps) (cos.f64 x))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1) (*.f64 (cos.f64 x) eps))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 3) (*.f64 (cos.f64 x) eps))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 6))
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
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 (*.f64 x (*.f64 eps -1/2)) x eps)
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 1/24 (pow.f64 x 4)) eps)))
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) 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 (*.f64 1/24 (pow.f64 x 4)) eps)) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) eps)))
(*.f64 eps (+.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))) (+.f64 1 (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(*.f64 -1 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(neg.f64 (*.f64 eps (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (neg.f64 (*.f64 (cos.f64 x) (cbrt.f64 -1))))
(*.f64 eps (*.f64 (cos.f64 x) (neg.f64 (cbrt.f64 -1))))
(pow.f64 eps 3)
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (pow.f64 eps 3))
(fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (pow.f64 eps 3))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (pow.f64 eps 3))
(*.f64 (pow.f64 eps 3) (+.f64 1 (*.f64 (*.f64 x x) -3/2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3)))
(fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (*.f64 (*.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3)))
(fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 eps 3)))
(fma.f64 x (*.f64 x (*.f64 (pow.f64 eps 3) -3/2)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (pow.f64 eps 3)))
(fma.f64 (pow.f64 x 4) (*.f64 (pow.f64 eps 3) 7/8) (*.f64 (pow.f64 eps 3) (+.f64 1 (*.f64 (*.f64 x x) -3/2))))
(+.f64 (*.f64 (+.f64 (*.f64 eps (+.f64 (*.f64 -1/24 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2)))) (+.f64 (*.f64 -1/720 (pow.f64 eps 3)) (+.f64 (*.f64 -1/24 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))))))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2 (pow.f64 eps 3)) (*.f64 -1 (pow.f64 eps 3))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 3)) (+.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (*.f64 1/12 (pow.f64 eps 2)))) (*.f64 1/2 (pow.f64 eps 3)))) (pow.f64 x 4)) (pow.f64 eps 3))))
(fma.f64 (fma.f64 eps (*.f64 (*.f64 eps eps) -2/45) (fma.f64 -1/720 (pow.f64 eps 3) (fma.f64 -1/24 (pow.f64 eps 3) (*.f64 -1/2 (*.f64 eps (*.f64 (*.f64 eps eps) 1/3)))))) (pow.f64 x 6) (fma.f64 (*.f64 (pow.f64 eps 3) -3/2) (*.f64 x x) (fma.f64 (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 eps (*.f64 (*.f64 eps eps) 1/3) (*.f64 (pow.f64 eps 3) 1/2))) (pow.f64 x 4) (pow.f64 eps 3))))
(fma.f64 (pow.f64 x 6) (+.f64 (*.f64 (pow.f64 eps 3) -2/45) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 3) 1/3)) (*.f64 (pow.f64 eps 3) -31/720))) (fma.f64 (*.f64 x x) (*.f64 (pow.f64 eps 3) -3/2) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (fma.f64 (pow.f64 eps 3) 1/2 (*.f64 (pow.f64 eps 3) 1/3))) (pow.f64 eps 3))))
(fma.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 3) 1/3)) (*.f64 (pow.f64 eps 3) -7/80)) (fma.f64 x (*.f64 x (*.f64 (pow.f64 eps 3) -3/2)) (fma.f64 (pow.f64 x 4) (fma.f64 1/24 (pow.f64 eps 3) (*.f64 (pow.f64 eps 3) 5/6)) (pow.f64 eps 3))))
(fma.f64 (pow.f64 x 6) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 3) 1/3)) (*.f64 (pow.f64 eps 3) -7/80)) (fma.f64 (pow.f64 x 4) (*.f64 (pow.f64 eps 3) 7/8) (*.f64 (pow.f64 eps 3) (+.f64 1 (*.f64 (*.f64 x x) -3/2)))))
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(*.f64 1 (*.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 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (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)) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1/3) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 (cos.f64 x) eps))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2)) (cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3/2)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.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))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 eps (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 eps (cos.f64 x))
(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))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1/3))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (cos.f64 x) (*.f64 eps (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 eps (*.f64 (cos.f64 x) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 1 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2) (pow.f64 (*.f64 (cos.f64 x) eps) 3/2))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (*.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (pow.f64 (*.f64 (cos.f64 x) eps) 2)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (*.f64 (cos.f64 x) eps))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (cos.f64 x) 3) (pow.f64 eps 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (cos.f64 x)) eps)
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) eps) (cos.f64 x))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) 1) (*.f64 (cos.f64 x) eps))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (sqrt.f64 (*.f64 (cos.f64 x) eps))) (sqrt.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2)) (cbrt.f64 (*.f64 (cos.f64 x) eps)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3) (pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 2) 3) (*.f64 (cos.f64 x) eps))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 6))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(log.f64 (exp.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 3))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(exp.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (cos.f64 x) eps))) 1))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3)))
(pow.f64 (*.f64 eps (cos.f64 x)) 3)

localize8.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.09%
(sqrt.f64 (cos.f64 x))
0.11%
(*.f64 eps (sqrt.f64 (cos.f64 x)))
0.15%
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 23 to 6 computations (73.9% saved)

series5.0ms (0%)

Counts
3 → 48
Calls

15 calls:

TimeVariablePointExpression
3.0ms
x
@0
(*.f64 eps (sqrt.f64 (cos.f64 x)))
0.0ms
eps
@0
(*.f64 eps (sqrt.f64 (cos.f64 x)))
0.0ms
x
@-inf
(*.f64 eps (sqrt.f64 (cos.f64 x)))
0.0ms
x
@inf
(*.f64 eps (sqrt.f64 (cos.f64 x)))
0.0ms
eps
@inf
(*.f64 eps (sqrt.f64 (cos.f64 x)))

rewrite70.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1644×add-sqr-sqrt
1630×*-un-lft-identity
1504×add-cube-cbrt
1478×add-cbrt-cube
176×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0935
117535
2209035
Stop Event
node limit
Counts
3 → 49
Calls
Call 1
Inputs
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 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 log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))))))

simplify98.0ms (0.7%)

Algorithm
egg-herbie
Rules
1268×associate-+r+
1186×associate-+l+
842×*-commutative
756×unswap-sqr
548×log-prod
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01471451
13221427
210741395
338381359
Stop Event
node limit
Counts
97 → 100
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
eps
(+.f64 eps (*.f64 -1/4 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/4 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -19/5760 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/4 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))) 1)
(pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 1)
(pow.f64 (sqrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 2)
(pow.f64 (cbrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 3)
(pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3) 1/3)
(sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)))
(log.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))))
(cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 x)))) 1)
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))
(pow.f64 (cos.f64 x) 1/2)
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)
(pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (cos.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 x)))))
(cbrt.f64 (pow.f64 (cos.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))
Outputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps x) x) eps)
(fma.f64 (*.f64 x (*.f64 eps -1/2)) x eps)
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps x) x) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24)))
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) 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 (*.f64 eps 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 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) eps)))
(+.f64 eps (*.f64 eps (+.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))) (*.f64 -1/720 (pow.f64 x 6)))))
(*.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 (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 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
eps
(+.f64 eps (*.f64 -1/4 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 (*.f64 -1/4 eps) (*.f64 x x)))
(fma.f64 (*.f64 (*.f64 eps x) x) -1/4 eps)
(fma.f64 eps (*.f64 x (*.f64 x -1/4)) eps)
(+.f64 eps (+.f64 (*.f64 -1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/4 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 -1/96 (*.f64 eps (pow.f64 x 4)) (*.f64 (*.f64 -1/4 eps) (*.f64 x x))))
(+.f64 eps (fma.f64 (*.f64 eps -1/96) (pow.f64 x 4) (*.f64 (*.f64 (*.f64 eps -1/4) x) x)))
(+.f64 eps (*.f64 eps (fma.f64 x (*.f64 x -1/4) (*.f64 (pow.f64 x 4) -1/96))))
(*.f64 eps (fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) -1/96 1)))
(+.f64 (*.f64 -19/5760 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/96 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/4 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -19/5760 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 -1/96 (*.f64 eps (pow.f64 x 4)) (*.f64 (*.f64 -1/4 eps) (*.f64 x x)))))
(+.f64 (fma.f64 (*.f64 eps -1/96) (pow.f64 x 4) (*.f64 (*.f64 (*.f64 eps -1/4) x) x)) (fma.f64 (*.f64 eps -19/5760) (pow.f64 x 6) eps))
(+.f64 (*.f64 eps (fma.f64 x (*.f64 x -1/4) (*.f64 (pow.f64 x 4) -1/96))) (*.f64 (fma.f64 (pow.f64 x 6) -19/5760 1) eps))
(+.f64 eps (*.f64 eps (fma.f64 (pow.f64 x 4) -1/96 (fma.f64 x (*.f64 x -1/4) (*.f64 (pow.f64 x 6) -19/5760)))))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(*.f64 (sqrt.f64 (cos.f64 x)) eps)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
1
(+.f64 1 (*.f64 -1/4 (pow.f64 x 2)))
(+.f64 1 (*.f64 (*.f64 x x) -1/4))
(fma.f64 (*.f64 x x) -1/4 1)
(fma.f64 x (*.f64 x -1/4) 1)
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (*.f64 -1/96 (pow.f64 x 4))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (*.f64 (pow.f64 x 4) -1/96)))
(+.f64 1 (fma.f64 (*.f64 x x) -1/4 (*.f64 (pow.f64 x 4) -1/96)))
(fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) -1/96 1))
(+.f64 1 (+.f64 (*.f64 -1/4 (pow.f64 x 2)) (+.f64 (*.f64 -1/96 (pow.f64 x 4)) (*.f64 -19/5760 (pow.f64 x 6)))))
(+.f64 1 (fma.f64 -1/4 (*.f64 x x) (fma.f64 -1/96 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -19/5760))))
(+.f64 (fma.f64 (*.f64 x x) -1/4 1) (fma.f64 (pow.f64 x 4) -1/96 (*.f64 (pow.f64 x 6) -19/5760)))
(+.f64 1 (fma.f64 x (*.f64 x -1/4) (fma.f64 (pow.f64 x 4) -1/96 (*.f64 (pow.f64 x 6) -19/5760))))
(+.f64 1 (fma.f64 (pow.f64 x 4) -1/96 (fma.f64 x (*.f64 x -1/4) (*.f64 (pow.f64 x 6) -19/5760))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (cos.f64 x)))) 1)
(*.f64 (cos.f64 x) eps)
(pow.f64 (*.f64 eps (cos.f64 x)) 1)
(*.f64 (cos.f64 x) eps)
(pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)
(*.f64 (cos.f64 x) eps)
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (cos.f64 x) eps)
(pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)
(*.f64 (cos.f64 x) eps)
(sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))
(*.f64 (cos.f64 x) eps)
(log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))
(*.f64 (cos.f64 x) eps)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (cos.f64 x)))))
(*.f64 (cos.f64 x) eps)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))
(*.f64 (cos.f64 x) eps)
(exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))
(*.f64 (cos.f64 x) eps)
(exp.f64 (*.f64 (log.f64 (*.f64 eps (cos.f64 x))) 1))
(*.f64 (cos.f64 x) eps)
(log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))
(*.f64 (cos.f64 x) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))) 1)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 1)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 2)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 3)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3) 1/3)
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)))
(fabs.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))
(log.f64 (pow.f64 (exp.f64 eps) (sqrt.f64 (cos.f64 x))))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))))))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) 3))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))) 1))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 eps (sqrt.f64 (cos.f64 x)))))
(*.f64 eps (sqrt.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (sqrt.f64 (cos.f64 x)))) 1)
(sqrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(*.f64 1 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) 1/4) (pow.f64 (cos.f64 x) 1/4))
(sqrt.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 3/2)
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2) (pow.f64 (cbrt.f64 (cos.f64 x)) 1/2))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (fabs.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (cos.f64 x)) (sqrt.f64 (cbrt.f64 (cos.f64 x))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 3/2)
(pow.f64 (cos.f64 x) 1/2)
(sqrt.f64 (cos.f64 x))
(pow.f64 (sqrt.f64 (cos.f64 x)) 1)
(sqrt.f64 (cos.f64 x))
(pow.f64 (pow.f64 (cos.f64 x) 1/4) 2)
(sqrt.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) 3)
(sqrt.f64 (cos.f64 x))
(pow.f64 (pow.f64 (cos.f64 x) 3/2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 3/2))
(fabs.f64 (sqrt.f64 (cos.f64 x)))
(sqrt.f64 (cos.f64 x))
(log.f64 (exp.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (cos.f64 x)))))
(sqrt.f64 (cos.f64 x))
(cbrt.f64 (pow.f64 (cos.f64 x) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(exp.f64 (log.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/2))
(sqrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (cos.f64 x))) 1))
(sqrt.f64 (cos.f64 x))
(log1p.f64 (expm1.f64 (sqrt.f64 (cos.f64 x))))
(sqrt.f64 (cos.f64 x))

localize17.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.14%
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.18%
(*.f64 (sin.f64 x) (cos.f64 eps))
0.24%
(*.f64 (cos.f64 x) (sin.f64 eps))
4.94%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
Compiler

Compiled 47 to 10 computations (78.7% saved)

series1.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite106.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1362×associate-*r/
1246×associate-*l/
510×associate-+l+
324×+-commutative
312×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01372
128532
2404432
Stop Event
node limit
Counts
2 → 194
Calls
Call 1
Inputs
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) 1) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (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 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (-.f64 (*.f64 (cos.f64 x) 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simplify158.0ms (1.1%)

Algorithm
egg-herbie
Rules
1328×+-commutative
1316×associate-+l-
1166×associate-+r-
752×fma-def
632×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
052614392
1140913686
2616613686
Stop Event
node limit
Counts
242 → 319
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
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(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))))) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 1 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))))) (sqrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))))) (cbrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 1) (sin.f64 (-.f64 x 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 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) 1) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) 1) (neg.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (sqrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (cbrt.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps)))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (/.f64 1 (sin.f64 (-.f64 x eps)))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) 3)) (/.f64 1 (sin.f64 (-.f64 x eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 (*.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) 3) (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (-.f64 (+.f64 (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (*.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (*.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) 1) (sin.f64 (-.f64 x eps)))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (sqrt.f64 (sin.f64 (-.f64 x eps)))) (sqrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (*.f64 (cbrt.f64 (sin.f64 (-.f64 x eps))) (cbrt.f64 (sin.f64 (-.f64 x eps))))) (cbrt.f64 (sin.f64 (-.f64 x eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 x eps))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.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 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.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)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.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)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.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))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
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(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))

eval517.0ms (3.7%)

Compiler

Compiled 29048 to 12968 computations (55.4% saved)

prune392.0ms (2.8%)

Pruning

71 alts after pruning (59 fresh and 12 done)

PrunedKeptTotal
New115171158
Fresh35255
Picked011
Done11112
Total1155711226
Error
0.04%
Counts
1226 → 71
Alt Table
Click to see full alt table
StatusErrorProgram
2.38%
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
28.64%
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.65%
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
35.72%
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.63%
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.68%
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
48.76%
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
35.71%
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
77.65%
(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))) 2)
77.31%
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
88.8%
(pow.f64 (sqrt.f64 eps) 2)
2.46%
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
86.19%
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
57.83%
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
49.28%
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
26.01%
(/.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))))
75.69%
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
57.21%
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
35.74%
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
80.89%
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
58.26%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
95.34%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
59.07%
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
55.49%
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cos.f64 x) (sin.f64 eps))))
35.73%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
55.36%
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))
59.1%
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
55.53%
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
94.5%
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
35.73%
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
57.09%
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
59.84%
(-.f64 (sin.f64 (+.f64 x eps)) x)
58.35%
(-.f64 (sin.f64 eps) (sin.f64 x))
68.9%
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
95.35%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
58.42%
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
94.42%
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
77.23%
(-.f64 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
48.74%
(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
46.16%
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.67%
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.65%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
20.45%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
22.52%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
46.16%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
43.67%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
0.75%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (/.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 (+.f64 eps eps)))) (+.f64 1 (cos.f64 eps)))))
0.54%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
0.72%
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
57.23%
(+.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)))))
43.51%
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
31.14%
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
75.17%
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
75.34%
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
77.59%
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
60.66%
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
21.52%
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
48.26%
(*.f64 (cos.f64 x) eps)
77.75%
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
45.43%
(sin.f64 eps)
57.16%
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
68.66%
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
68.62%
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
77.79%
(fabs.f64 (sin.f64 (+.f64 eps x)))
57.89%
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
63.14%
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
79.39%
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
88.76%
(cbrt.f64 (pow.f64 eps 3))
71.65%
eps
95.52%
0
Compiler

Compiled 1009 to 694 computations (31.2% saved)

regimes220.0ms (1.6%)

Counts
102 → 1
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
(+.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 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (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 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (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 -1 (/.f64 (*.f64 (/.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 (+.f64 eps eps)))) (+.f64 1 (cos.f64 eps)))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(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 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (log.f64 (exp.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 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))))))
(+.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) 3) 1/3) (-.f64 -1 (cos.f64 eps))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (/.f64 (/.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 (sin.f64 x) (cos.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(/.f64 (-.f64 (*.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 (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 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (*.f64 (cos.f64 x) (sin.f64 eps))))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
Calls

3 calls:

75.0ms
x
68.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
47.0ms
eps
Results
ErrorSegmentsBranch
0.54%1x
0.54%1eps
0.54%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1398 to 548 computations (60.8% saved)

regimes193.0ms (1.4%)

Counts
80 → 1
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
(+.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 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)) (*.f64 (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 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (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 -1 (/.f64 (*.f64 (/.f64 (sin.f64 x) 2) (-.f64 1 (cos.f64 (+.f64 eps eps)))) (+.f64 1 (cos.f64 eps)))))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (sqrt.f64 (*.f64 eps (cos.f64 x)))) 4))
(pow.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) (cbrt.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

75.0ms
eps
43.0ms
x
28.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.63%1x
0.63%1eps
0.63%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 883 to 338 computations (61.7% saved)

regimes156.0ms (1.1%)

Counts
64 → 1
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
(+.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 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

58.0ms
x
52.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
31.0ms
eps
Results
ErrorSegmentsBranch
0.67%1x
0.67%1eps
0.67%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 643 to 263 computations (59.1% saved)

regimes91.0ms (0.7%)

Counts
60 → 1
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
(+.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 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(-.f64 (+.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 eps)) (sin.f64 x))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
Calls

3 calls:

32.0ms
x
28.0ms
eps
17.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
20.45%1x
20.45%1eps
20.45%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 575 to 231 computations (59.8% saved)

regimes89.0ms (0.6%)

Counts
56 → 1
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 2 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps (-.f64 x x)) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2)) 2))
(+.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 (fabs.f64 (sin.f64 eps)) (sin.f64 x))
(-.f64 (fabs.f64 (sin.f64 x)) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.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 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 x))) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 3) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1)) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 x eps)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (pow.f64 (sin.f64 eps) 1/3) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 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:

29.0ms
x
25.0ms
eps
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
21.52%1x
21.52%1eps
21.52%1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 531 to 222 computations (58.2% saved)

regimes78.0ms (0.6%)

Counts
17 → 3
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
(-.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 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

30.0ms
x
26.0ms
eps
18.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
22.76%3x
21.44%3eps
21.71%3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 119 to 62 computations (47.9% saved)

bsearch90.0ms (0.6%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
39.0ms
1.6589510293755084e-6
2.062473220320761
50.0ms
-11114223691060272.0
-8.55163883771055e-5
Results
40.0ms91×body1024valid
29.0ms181×body256valid
12.0ms40×body512valid
5.0msbody2048valid
Compiler

Compiled 314 to 230 computations (26.8% saved)

regimes42.0ms (0.3%)

Counts
12 → 3
Calls
Call 1
Inputs
0
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 (+.f64 x eps)) x)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(/.f64 1 (/.f64 1 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(cbrt.f64 (pow.f64 eps 3))
(pow.f64 (sqrt.f64 eps) 2)
(fabs.f64 (sin.f64 (+.f64 eps x)))
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

20.0ms
eps
19.0ms
x
Results
ErrorSegmentsBranch
23.61%3x
22.07%3eps
Compiler

Compiled 73 to 43 computations (41.1% saved)

bsearch74.0ms (0.5%)

Algorithm
binary-search
Stop Event
narrow-enough
narrow-enough
Steps
TimeLeftRight
37.0ms
1.6589510293755084e-6
2.062473220320761
37.0ms
-4.818664706994909e-6
-4.7811451807842295e-9
Results
29.0ms70×body1024valid
25.0ms161×body256valid
10.0ms33×body512valid
6.0msbody2048valid
Compiler

Compiled 218 to 163 computations (25.2% saved)

regimes13.0ms (0.1%)

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

2 calls:

8.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
45.43%1x
45.43%1eps
Compiler

Compiled 30 to 18 computations (40% saved)

regimes9.0ms (0.1%)

Accuracy

Total -16.6b remaining (-36.2%)

Threshold costs -16.6b (-36.2%)

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

2 calls:

4.0ms
eps
4.0ms
x
Results
ErrorSegmentsBranch
71.65%1x
71.65%1eps
Compiler

Compiled 28 to 17 computations (39.3% saved)

simplify13.0ms (0.1%)

Algorithm
egg-herbie
Rules
30×+-commutative
26×*-commutative
14×sub-neg
10×neg-sub0
neg-mul-1
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057328
189324
2100324
3112324
4119324
5122324
6123324
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (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 -1544914816173175/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/9223372036854775808) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -8500259669165361/2361183241434822606848) (sin.f64 eps) (if (<=.f64 eps 5534023222112865/73786976294838206464) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps)))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -1544914816173175/4611686018427387904) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7378697629483821/9223372036854775808) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -1544914816173175/4611686018427387904) (not (<=.f64 eps 7378697629483821/9223372036854775808))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(if (<=.f64 eps -8500259669165361/2361183241434822606848) (sin.f64 eps) (if (<=.f64 eps 5534023222112865/73786976294838206464) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
0
Compiler

Compiled 131 to 91 computations (30.5% saved)

soundness92.0ms (0.7%)

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)

end61.0ms (0.4%)

Compiler

Compiled 113 to 53 computations (53.1% saved)

Profiling

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