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)

sample3.8s (28%)

Results
2.0s3505×body1024valid
1.0s1269×body2048valid
484.0ms1422×body512valid
329.0ms2059×body256valid
1.0msbody4096valid
Bogosity

preprocess15.0ms (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)

simplify51.0ms (0.4%)

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

Useful iterations: 0 (0.0ms)

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

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
31.9b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
31.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.1b
(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))

rewrite89.0ms (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)))))))

simplify124.0ms (0.9%)

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))

eval101.0ms (0.7%)

Compiler

Compiled 6859 to 2143 computations (68.8% saved)

prune125.0ms (0.9%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New23836274
Fresh000
Picked011
Done000
Total23837275
Error
0.2b
Counts
275 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
26.9b
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
35.9b
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
36.2b
(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))))))
48.7b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
32.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
32.1b
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 eps x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 x (-.f64 eps x)) (+.f64 x (+.f64 eps x)))))) 1)
31.9b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
32.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
19.6b
(-.f64 (/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x))
19.6b
(-.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))
16.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
52.0b
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
33.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
31.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.0b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
61.4b
(-.f64 (sin.f64 x) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
31.8b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
47.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
31.8b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
17.2b
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
17.2b
(+.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)))
16.7b
(+.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))
26.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
16.7b
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
35.9b
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
28.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
36.1b
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
32.0b
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
14.9b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.8b
(*.f64 (cos.f64 x) eps)
32.0b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
41.1b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
48.1b
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
32.1b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Compiler

Compiled 1211 to 762 computations (37.1% saved)

localize16.0ms (0.1%)

Local error

Found 4 expressions with local error:

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

Compiled 44 to 10 computations (77.3% saved)

series7.0ms (0%)

Counts
4 → 80
Calls

24 calls:

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

rewrite161.0ms (1.2%)

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 (*.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))
(*.f64 (cos.f64 x) (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.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 (neg.f64 (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 x) (cos.f64 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 (*.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 (-.f64 eps x))) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))

simplify184.0ms (1.3%)

Algorithm
egg-herbie
Rules
1100×associate-*r*
898×associate-*l*
880×associate-/l*
600×+-commutative
550×*-commutative
Iterations

Useful iterations: 1 (0.0ms)

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

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite72.0ms (0.5%)

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)))))))

simplify51.0ms (0.4%)

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

Useful iterations: 4 (0.0ms)

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

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
2.1b
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
3.1b
(sin.f64 (+.f64 eps x))
Compiler

Compiled 28 to 7 computations (75% saved)

series1.0ms (0%)

Counts
2 → 32
Calls

12 calls:

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

rewrite98.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0932
121132
2310132
Stop Event
node limit
Counts
2 → 152
Calls
Call 1
Inputs
(sin.f64 (+.f64 eps x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
Outputs
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(+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))

simplify149.0ms (1.1%)

Algorithm
egg-herbie
Rules
1356×+-commutative
1228×associate-+l-
1048×associate-+r-
790×fma-def
744×associate--r+
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
043810496
112609796
257939796
Stop Event
node limit
Counts
184 → 279
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 (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 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 (-.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 (*.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 (*.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 (-.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 (*.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 (*.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 (*.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 (*.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 (*.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))))))
(pow.f64 (sin.f64 (+.f64 eps x)) 1)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 3)
(pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 eps x))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))
(exp.f64 (log.f64 (sin.f64 (+.f64 eps x))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 eps x)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 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))))
(+.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))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 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)))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) 1))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
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(/.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 x) 2) (pow.f64 (sin.f64 (+.f64 eps 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 (*.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 eps 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 (*.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 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2) (*.f64 (+.f64 eps (+.f64 x x)) 1/2)))) 2) 2)
(/.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)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(/.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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(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 (sin.f64 eps) (*.f64 x x)) (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 (sin.f64 eps) (*.f64 x x)) (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 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (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 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 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 -1 (cos.f64 eps)) (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 -1 (cos.f64 eps)) (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 -1 (cos.f64 eps)) (fma.f64 (pow.f64 x 3) (fma.f64 -1/6 (cos.f64 eps) 1/6) (sin.f64 eps))))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.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 (-.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 (*.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 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (*.f64 (cos.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 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)))))
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(-.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)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 eps (+.f64 x x)) 1/2)) (cos.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (cos.f64 (*.f64 (+.f64 eps 0) 1/2))) 2))
(*.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))) (cos.f64 (*.f64 eps 1/2)))) 1/2)
(/.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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (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 (sin.f64 (-.f64 x (neg.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
0.2b
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
2.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.1b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series165.0ms (1.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
57.0ms
x
@inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
49.0ms
eps
@inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
31.0ms
eps
@-inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
26.0ms
x
@-inf
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.0ms
eps
@0
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))

rewrite104.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1094×associate-*r/
962×distribute-lft-in
906×associate-*l/
376×associate-+l+
282×+-commutative
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
124946
2333946
Stop Event
node limit
Counts
2 → 190
Calls
Call 1
Inputs
(log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
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(+.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 exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 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)))))))

simplify163.0ms (1.2%)

Algorithm
egg-herbie
Rules
1770×associate--r+
1020×fma-def
660×+-commutative
648×associate-*r*
532×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
059013510
1170112770
2761312770
Stop Event
node limit
Counts
238 → 322
Calls
Call 1
Inputs
(log.f64 (+.f64 1 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 1 (sin.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (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) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (+.f64 (sin.f64 x) (+.f64 (*.f64 -12 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (+.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (*.f64 4 (pow.f64 (cos.f64 x) 2)))))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (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 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)
(*.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(*.f64 1 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(pow.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 x) 1)))
(cbrt.f64 (pow.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (log.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.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 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
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(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))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
Outputs
(log.f64 (+.f64 1 (sin.f64 eps)))
(log1p.f64 (sin.f64 eps))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(+.f64 (log1p.f64 (sin.f64 eps)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))
(fma.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x (log1p.f64 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x) (*.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/6 (*.f64 (+.f64 (*.f64 3 (/.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (+.f64 (*.f64 6 (/.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (+.f64 1 (sin.f64 eps)))) (*.f64 2 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))))) (pow.f64 x 3))) (+.f64 (*.f64 1/2 (*.f64 (+.f64 (*.f64 -1 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (pow.f64 x 2))) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/6 (*.f64 (fma.f64 3 (/.f64 (+.f64 (cos.f64 eps) -1) (/.f64 (pow.f64 (+.f64 1 (sin.f64 eps)) 2) (sin.f64 eps))) (fma.f64 6 (/.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (+.f64 1 (sin.f64 eps))) (/.f64 (*.f64 2 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (pow.f64 (+.f64 1 (sin.f64 eps)) 3)))) (pow.f64 x 3)) (fma.f64 1/2 (*.f64 (*.f64 -1 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x)) (*.f64 (-.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 1 (+.f64 1 (sin.f64 eps)))) x))))
(+.f64 (log1p.f64 (sin.f64 eps)) (fma.f64 1/6 (*.f64 (fma.f64 3 (*.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (sin.f64 eps)) (fma.f64 2 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3)) (*.f64 6 (/.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (+.f64 1 (sin.f64 eps)))))) (pow.f64 x 3)) (fma.f64 (*.f64 -1/2 (+.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2)) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps))))) (*.f64 x x) (*.f64 (+.f64 (/.f64 (cos.f64 eps) (+.f64 1 (sin.f64 eps))) (/.f64 -1 (+.f64 1 (sin.f64 eps)))) x))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 eps (*.f64 -1 x)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.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) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))
(fma.f64 eps (cos.f64 x) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (fma.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (cos.f64 x))))) (fma.f64 (cos.f64 x) eps (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (-.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (fma.f64 eps (cos.f64 x) (*.f64 (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)) (*.f64 1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 3 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (+.f64 (sin.f64 x) (+.f64 (*.f64 -12 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (+.f64 (*.f64 -3 (pow.f64 (sin.f64 x) 2)) (*.f64 4 (pow.f64 (cos.f64 x) 2)))))))) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1 (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (fma.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)) (neg.f64 (cos.f64 x))))) (fma.f64 (cos.f64 x) eps (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (+.f64 (sin.f64 x) (fma.f64 -12 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 -3 (pow.f64 (sin.f64 x) 2) (*.f64 (pow.f64 (cos.f64 x) 2) 4)))))) (*.f64 (*.f64 1/2 (*.f64 eps eps)) (*.f64 -1 (+.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 1/6 (*.f64 (pow.f64 eps 3) (-.f64 (fma.f64 2 (pow.f64 (cos.f64 x) 3) (*.f64 3 (*.f64 (sin.f64 x) (cos.f64 x)))) (cos.f64 x))) (fma.f64 eps (cos.f64 x) (fma.f64 1/2 (*.f64 eps (*.f64 eps (-.f64 (neg.f64 (sin.f64 x)) (pow.f64 (cos.f64 x) 2)))) (*.f64 (pow.f64 eps 4) (*.f64 (+.f64 (fma.f64 -12 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (fma.f64 (pow.f64 (cos.f64 x) 2) 4 (*.f64 -3 (pow.f64 (sin.f64 x) 2)))) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (sin.f64 x))) 1/24)))))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (+.f64 eps x))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log.f64 (-.f64 (+.f64 1 (sin.f64 (-.f64 x (*.f64 -1 eps)))) (sin.f64 x)))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 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 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 -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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.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 (exp.f64 (log1p.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) 1)
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (sqrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (+.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
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(/.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))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (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))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
0.2b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
2.1b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.1b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 39 to 10 computations (74.4% saved)

series6.0ms (0%)

Counts
2 → 40
Calls

12 calls:

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

rewrite96.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
1080×associate-*r/
942×associate-*l/
930×distribute-lft-in
348×associate-+l+
280×add-sqr-sqrt
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01246
127446
2353546
Stop Event
node limit
Counts
2 → 195
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
Outputs
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(+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)) (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 1/2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) 1) (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 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) 1) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.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 /.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.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)) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.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)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.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)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))

simplify228.0ms (1.7%)

Algorithm
egg-herbie
Rules
1534×associate-+l-
1480×associate-+r-
680×fma-def
548×associate-*r*
498×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053713801
1145813197
2626313197
Stop Event
node limit
Counts
235 → 312
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (+.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 (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))
(sqrt.f64 (sin.f64 eps))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.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 (*.f64 (neg.f64 (sin.f64 x)) 1) (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 (*.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 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.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 (sin.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.f64 (sin.f64 x)) 1)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (sin.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(fabs.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/2))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (cos.f64 eps)) -1/2)) 2))) (*.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/4 (/.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 -1/2 (sin.f64 eps))) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (+.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 (-.f64 (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sin.f64 eps)) (*.f64 (sin.f64 eps) -1/2)) (pow.f64 (*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.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 (fma.f64 1/4 (/.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (cos.f64 eps)) -1/2)) 2))) (*.f64 x x) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (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))
(sqrt.f64 (sin.f64 eps))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
(fma.f64 1/2 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps))))
(+.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (cos.f64 eps)) -1/2)) 2))) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1/2))))
(+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (pow.f64 x 2)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (*.f64 1/2 (/.f64 (*.f64 (-.f64 (*.f64 -1/2 (sin.f64 eps)) (pow.f64 (*.f64 1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) 2)) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))))
(fma.f64 1/2 (*.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (*.f64 (*.f64 x x) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (fma.f64 1/2 (*.f64 (+.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (*.f64 -1/2 (/.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (*.f64 1/2 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) 2)) (/.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1))))) (*.f64 (pow.f64 x 3) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (fma.f64 1/2 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))))
(+.f64 (fma.f64 1/2 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 (*.f64 1/2 (*.f64 x x)) (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (cos.f64 eps)) -1/2)) 2))) (*.f64 1/2 (*.f64 (pow.f64 x 3) (+.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (*.f64 -1/2 (*.f64 (/.f64 (-.f64 (*.f64 (sin.f64 eps) -1/2) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 eps))) (+.f64 (*.f64 1/2 (cos.f64 eps)) -1/2)) 2)) (sin.f64 eps)) (+.f64 (cos.f64 eps) -1)))))))))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps 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))))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps 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 (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)))
(+.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))))
(+.f64 (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)))
(+.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 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (+.f64 (*.f64 (neg.f64 (sin.f64 x)) 1) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 1 (*.f64 (neg.f64 (sin.f64 x)) 1)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (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)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x))))
(fma.f64 2 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 eps 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 0 (sin.f64 x)) (sin.f64 x)) (+.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (-.f64 (*.f64 0 (sin.f64 x)) (-.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (*.f64 2 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(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)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x)))) (*.f64 0 (sin.f64 x))) (+.f64 (sin.f64 (+.f64 eps x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
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(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1/2))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

eval1.2s (8.8%)

Compiler

Compiled 55830 to 19880 computations (64.4% saved)

prune896.0ms (6.5%)

Pruning

64 alts after pruning (60 fresh and 4 done)

PrunedKeptTotal
New1914451959
Fresh161531
Picked101
Done145
Total1932641996
Error
0.1b
Counts
1996 → 64
Alt Table
Click to see full alt table
StatusErrorProgram
26.9b
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
18.1b
(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)))
16.7b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
35.7b
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
49.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
49.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
45.4b
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
32.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
36.3b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
12.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
11.7b
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
31.9b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
16.7b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
32.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
16.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
33.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
41.1b
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
61.1b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
16.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
31.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.0b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
61.4b
(-.f64 (sin.f64 x) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
47.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
26.0b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
33.6b
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.6b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
26.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
15.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (sin.f64 x)))
31.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
14.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
2.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 x)))
12.6b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (sin.f64 x)))
16.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
31.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
34.3b
(+.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)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
25.9b
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
28.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
32.0b
(+.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)))))
48.1b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
41.1b
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
11.8b
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
30.5b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
14.9b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.8b
(*.f64 (cos.f64 x) eps)
25.8b
(sin.f64 eps)
32.0b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
48.1b
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
48.1b
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
48.7b
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
39.0b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.9b
(fabs.f64 (*.f64 (cos.f64 x) eps))
35.0b
(expm1.f64 (*.f64 (cos.f64 x) eps))
32.6b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
25.8b
(expm1.f64 (log1p.f64 (sin.f64 eps)))
52.4b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
46.6b
eps
Compiler

Compiled 1970 to 1347 computations (31.6% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
1.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
Compiler

Compiled 42 to 10 computations (76.2% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite160.0ms (1.2%)

Algorithm
batch-egg-rewrite
Rules
754×distribute-rgt-in
720×distribute-lft-in
616×associate-*r/
534×associate-*l/
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01466
128758
2371258
Stop Event
node limit
Counts
2 → 189
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) -1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 1) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (+.f64 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simplify216.0ms (1.6%)

Algorithm
egg-herbie
Rules
1190×+-commutative
1006×associate-+r-
906×associate-*r*
798×associate-*l*
652×fma-def
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
047314581
1132313603
2735013543
Stop Event
node limit
Counts
237 → 332
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 (-.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 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1))
(+.f64 (sin.f64 x) (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1))
(+.f64 0 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (sin.f64 x))
(+.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))
(+.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (*.f64 -1 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 -1 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) -1) (sin.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) -1) (sin.f64 x))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 1) (sin.f64 x))
(+.f64 (neg.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (sin.f64 x))
(-.f64 0 (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1)
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) 0) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))
(-.f64 (-.f64 (+.f64 0 (*.f64 (cos.f64 eps) (sin.f64 x))) 0) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) -1)
(*.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps))))
(*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (cbrt.f64 (sin.f64 x)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (+.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (-.f64 (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (cbrt.f64 (sin.f64 x))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(*.f64 -1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(*.f64 (neg.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x))
(*.f64 (neg.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (*.f64 -1 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 -1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (*.f64 1 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(/.f64 (/.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2)) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (neg.f64 (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3) 1/3)
(neg.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
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(/.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) 3)) (*.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (+.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) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)))))
(/.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (neg.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) 1) (neg.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (*.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) 1) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (sqrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (*.f64 (+.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) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2))) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (+.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) (+.f64 (cos.f64 eps) 1)) 2) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))))
(/.f64 (*.f64 (-.f64 (*.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) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)))
(/.f64 (*.f64 (+.f64 (pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 3) (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))) (+.f64 (*.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) (+.f64 (cos.f64 eps) 1)) 3) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) 1) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3))) (/.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (+.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) 1) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))) (sqrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(/.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))) (cbrt.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 3)
(pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3) 1/3)
(neg.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (neg.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (exp.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (sqrt.f64 (*.f64 (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 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(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)))
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)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.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))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.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)))))
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(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 2)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 3)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 1)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3) 1/3)
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(neg.f64 (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (neg.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3)) (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (/.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (exp.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(-.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(-.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 -1 (cos.f64 eps))) (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 3))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) 1))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (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) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (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) (+.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
0.2b
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
6.7b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series4.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite115.0ms (0.8%)

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)))))

simplify122.0ms (0.9%)

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)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 (*.f64 x x) (*.f64 eps -1/2))) eps)
(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 2 expressions with local error:

NewErrorProgram
0.0b
(sqrt.f64 (sin.f64 eps))
0.3b
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
Compiler

Compiled 14 to 7 computations (50% saved)

series2.0ms (0%)

Counts
2 → 8
Calls

6 calls:

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

rewrite52.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1202×add-sqr-sqrt
1184×*-un-lft-identity
1120×pow1
1100×add-cube-cbrt
1090×add-cbrt-cube
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116014
2154614
Stop Event
node limit
Counts
2 → 37
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(sqrt.f64 (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(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 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 1/4) (*.f64 (pow.f64 (sin.f64 eps) 1/4) (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 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))))) (#(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 *.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 1/4)) (pow.f64 (sin.f64 eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(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 cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 eps)))) (#(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 log1p.f64 (expm1.f64 (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 1/4) (pow.f64 (sin.f64 eps) 1/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 1/2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 1/4) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
846×associate-/l*
730×*-commutative
706×unswap-sqr
702×distribute-lft-out
684×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
075545
1144425
2580305
32176305
46228305
Stop Event
node limit
Counts
45 → 40
Calls
Call 1
Inputs
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(*.f64 (sin.f64 eps) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 1 (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 1/4) (*.f64 (pow.f64 (sin.f64 eps) 1/4) (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 1/4)) (pow.f64 (sin.f64 eps) 1/4))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sin.f64 eps) 1/4) (pow.f64 (sin.f64 eps) 1/4))
(*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 1/2))
(pow.f64 (sin.f64 eps) 1/2)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 1)
(pow.f64 (pow.f64 (sin.f64 eps) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))
Outputs
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(sin.f64 eps)
(*.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 1/4) (*.f64 (pow.f64 (sin.f64 eps) 1/4) (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 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 1/4)) (pow.f64 (sin.f64 eps) 1/4))
(sin.f64 eps)
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 1 (sqrt.f64 (sin.f64 eps)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (pow.f64 (sin.f64 eps) 1/4) (pow.f64 (sin.f64 eps) 1/4))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (pow.f64 1 1/2) (sqrt.f64 (sin.f64 eps)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 1/2))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/2)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sqrt.f64 (sin.f64 eps)) 1)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (pow.f64 (sin.f64 eps) 1/4) 2)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(fabs.f64 (sqrt.f64 (sin.f64 eps)))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))
(+.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) -1)
(+.f64 (sqrt.f64 (sin.f64 eps)) 0)
(sqrt.f64 (sin.f64 eps))

localize11.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
0.1b
(-.f64 (sin.f64 eps) (sin.f64 x))
0.3b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
Compiler

Compiled 28 to 9 computations (67.9% saved)

series6.0ms (0%)

Counts
3 → 40
Calls

18 calls:

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

rewrite106.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
960×*-commutative
698×unswap-sqr
556×swap-sqr
544×associate-*r/
434×associate-*l/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01149
123849
2282649
Stop Event
node limit
Counts
3 → 308
Calls
Call 1
Inputs
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(-.f64 (sin.f64 eps) (sin.f64 x))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 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 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 eps) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) 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(2) ((x /.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) 1) (sqrt.f64 (+.f64 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(-.f64 (sin.f64 eps) (sin.f64 x)) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))))

simplify193.0ms (1.4%)

Algorithm
egg-herbie
Rules
1250×associate-+l-
1146×associate-+r-
754×fma-def
712×associate-*r*
632×associate-*l*
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
057619548
1156817922
2681417918
Stop Event
node limit
Counts
348 → 329
Calls
Call 1
Inputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) eps)
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) (+.f64 eps (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6)))))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) (+.f64 eps (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) 2))) (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (sin.f64 x) 3))))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6))))))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 1/6) (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 1/6) (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/6 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/6 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)))) 2))))) (pow.f64 x 4)) (sin.f64 eps))))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 -1 (sin.f64 x))
(+.f64 eps (*.f64 -1 (sin.f64 x)))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (sin.f64 eps))))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))))
(sqrt.f64 (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))))) (sqrt.f64 (sin.f64 eps))))
(+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))))) (+.f64 (*.f64 1/2 (*.f64 (*.f64 (-.f64 1/6 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3)) (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))))
(+.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (sin.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 (sin.f64 eps) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (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 (sin.f64 eps) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
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(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))) (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4))) (*.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4)) (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (*.f64 (cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4)) (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))
(*.f64 (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3/2) (pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3/2))
(*.f64 (pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2) 1/6) (pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2) 1/6))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) 1) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/2)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 1)
(pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2) 1/3)
(fabs.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
Outputs
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) eps)
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x) eps)
(-.f64 eps (sin.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) (+.f64 eps (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6)))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x) eps) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) 1/6))))
(fma.f64 -1 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))
(-.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (sin.f64 x))
(+.f64 (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)) (+.f64 eps (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)))) (+.f64 (*.f64 -1 (+.f64 (*.f64 1/2 (/.f64 (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x)))) (pow.f64 (*.f64 -1/8 (*.f64 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) 2))) (*.f64 1/64 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 6) (pow.f64 (sin.f64 x) 3))))))) (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) (+.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6))))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x) eps) (fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) -1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x))) (fma.f64 -1 (fma.f64 1/2 (/.f64 (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) -1/6) (*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x))) (pow.f64 (*.f64 (*.f64 -1/8 (/.f64 1 (pow.f64 (sqrt.f64 -1) 3))) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3)))) 2)) (/.f64 1/64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sqrt.f64 -1) 6))))) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) 1/6)))))
(+.f64 (fma.f64 (pow.f64 eps 4) (fma.f64 1/2 (-.f64 (/.f64 1/8 (pow.f64 (neg.f64 (sin.f64 x)) 3)) (/.f64 -1/6 (sin.f64 x))) (-.f64 (/.f64 -1/64 (pow.f64 (sin.f64 x) 3)) (fma.f64 1/2 (-.f64 (/.f64 1/8 (pow.f64 (neg.f64 (sin.f64 x)) 3)) (/.f64 -1/6 (sin.f64 x))) (pow.f64 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) (*.f64 -1/8 (/.f64 -1 (sqrt.f64 -1)))) 2)))) (*.f64 (pow.f64 eps 3) -1/6)) (-.f64 eps (sin.f64 x)))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 1/6) (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 (+.f64 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)) (-.f64 1/6 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 (+.f64 1/6 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)) (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 (-.f64 (+.f64 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2))) 1/6) (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 (+.f64 (*.f64 1/64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))) (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/6 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))) (*.f64 -1 (+.f64 (*.f64 -1/2 (/.f64 (-.f64 1/6 (*.f64 1/8 (/.f64 1 (pow.f64 (sin.f64 eps) 2)))) (sin.f64 eps))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)))) 2))))) (pow.f64 x 4)) (sin.f64 eps))))
(fma.f64 (+.f64 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)) (-.f64 1/6 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3) (fma.f64 -1 x (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (sin.f64 eps) 3)) (fma.f64 -1/2 (/.f64 (-.f64 1/6 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps)) (neg.f64 (fma.f64 -1/2 (/.f64 (-.f64 1/6 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps)) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)))) 2))))) (pow.f64 x 4) (sin.f64 eps))))
(fma.f64 (+.f64 1/6 (-.f64 (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)) (/.f64 1/8 (pow.f64 (sin.f64 eps) 2)))) (pow.f64 x 3) (-.f64 (fma.f64 (+.f64 (/.f64 1/64 (pow.f64 (sin.f64 eps) 3)) (-.f64 (*.f64 -1/2 (-.f64 (/.f64 1/6 (sin.f64 eps)) (/.f64 1/8 (pow.f64 (sin.f64 eps) 3)))) (fma.f64 -1/2 (-.f64 (/.f64 1/6 (sin.f64 eps)) (/.f64 1/8 (pow.f64 (sin.f64 eps) 3))) (pow.f64 (*.f64 -1/8 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3)))) 2)))) (pow.f64 x 4) (sin.f64 eps)) x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 -1 (sin.f64 x))
(*.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 eps (*.f64 -1 (sin.f64 x)))
(fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x) eps)
(-.f64 eps (sin.f64 x))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (fma.f64 (pow.f64 (sqrt.f64 -1) 2) (sin.f64 x) eps) (*.f64 (pow.f64 eps 3) (-.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) 1/6))))
(fma.f64 -1 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))
(-.f64 (fma.f64 (pow.f64 eps 3) -1/6 eps) (sin.f64 x))
(+.f64 eps (+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 eps (fma.f64 -1 (sin.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5)))))
(+.f64 (-.f64 eps (sin.f64 x)) (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 1/120 (pow.f64 eps 5))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x))
(+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (sin.f64 eps))))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (fma.f64 -1/120 (pow.f64 x 5) (sin.f64 eps))))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (fma.f64 -1/120 (pow.f64 x 5) (sin.f64 eps)) x))
(*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))
(fma.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))))
(fma.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 eps eps) (pow.f64 (sqrt.f64 -1) 3))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)))))
(fma.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 (/.f64 eps (sqrt.f64 -1)) (/.f64 eps -1)) (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) -1/8))))
(+.f64 (*.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (+.f64 (*.f64 -1/8 (*.f64 (/.f64 (pow.f64 eps 2) (pow.f64 (sqrt.f64 -1) 3)) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))))) (+.f64 (*.f64 1/2 (*.f64 (/.f64 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 1/8 (/.f64 1 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2)))) 1/6)) (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x))))) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))))
(fma.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) (/.f64 (*.f64 eps eps) (pow.f64 (sqrt.f64 -1) 3))) (fma.f64 1/2 (/.f64 (*.f64 (*.f64 (pow.f64 eps 3) (+.f64 (/.f64 1/8 (*.f64 (pow.f64 (sqrt.f64 -1) 4) (pow.f64 (sin.f64 x) 2))) -1/6)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (sqrt.f64 -1)) (*.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x))))))
(fma.f64 1/2 (*.f64 (/.f64 eps (sqrt.f64 -1)) (sqrt.f64 (/.f64 1 (sin.f64 x)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 x) 3))) (*.f64 (/.f64 eps (sqrt.f64 -1)) (/.f64 eps -1))) (fma.f64 (sqrt.f64 -1) (sqrt.f64 (sin.f64 x)) (*.f64 (*.f64 (/.f64 (pow.f64 eps 3) (sqrt.f64 -1)) (+.f64 (/.f64 1/8 (pow.f64 (sin.f64 x) 2)) -1/6)) (*.f64 (sqrt.f64 (/.f64 1 (sin.f64 x))) 1/2)))))
(sqrt.f64 (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (sqrt.f64 (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (sqrt.f64 (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps))))) (+.f64 (*.f64 -1/8 (*.f64 (pow.f64 x 2) (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))))) (sqrt.f64 (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (sqrt.f64 (/.f64 1 (sin.f64 eps)))) (fma.f64 -1/8 (*.f64 (sqrt.f64 (/.f64 1 (pow.f64 (sin.f64 eps) 3))) (*.f64 x x)) (sqrt.f64 (sin.f64 eps))))
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(/.f64 (hypot.f64 (pow.f64 (neg.f64 (sin.f64 x)) 3/2) (pow.f64 (sin.f64 eps) 3/2)) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (*.f64 1 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (hypot.f64 (pow.f64 (neg.f64 (sin.f64 x)) 3/2) (pow.f64 (sin.f64 eps) 3/2)) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (*.f64 (pow.f64 1 1/2) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) 1) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps))))))
(/.f64 (hypot.f64 (pow.f64 (neg.f64 (sin.f64 x)) 3/2) (pow.f64 (sin.f64 eps) 3/2)) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) 1) (sqrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 eps) (sin.f64 x))))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 eps) (sin.f64 x))))
(/.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 eps))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))))
(pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/2)
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 1)
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 1/4) 2)
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))) 3)
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2) 1/3)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2))
(fabs.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log.f64 (exp.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3/2))
(expm1.f64 (log1p.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))))
(sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
0.1b
(*.f64 (cos.f64 eps) (sin.f64 x))
3.4b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
Compiler

Compiled 40 to 9 computations (77.5% saved)

series3.0ms (0%)

Counts
3 → 56
Calls

18 calls:

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

rewrite109.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1106×unswap-sqr
812×swap-sqr
700×distribute-rgt-in
656×distribute-lft-in
550×associate-*r/
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01387
126487
2335887
Stop Event
node limit
Counts
3 → 175
Calls
Call 1
Inputs
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
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(neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x 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2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))))

simplify177.0ms (1.3%)

Algorithm
egg-herbie
Rules
1356×associate-+l-
1170×associate-+r-
998×fma-def
762×associate--r+
686×associate-*r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
049116843
1136815789
2615015789
Stop Event
node limit
Counts
231 → 303
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 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) 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))))))
(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))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 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))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
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(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 1)
(pow.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 2)
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 3)
(pow.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3) 1/3)
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (neg.f64 (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(neg.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)) (neg.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))))
(sqrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(expm1.f64 (log1p.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(exp.f64 (log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(exp.f64 (*.f64 (log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1))
(log1p.f64 (expm1.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(fma.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (neg.f64 (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))) 1)
(/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2)
(/.f64 (*.f64 1 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps)))) 2)
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 1) 2)
(pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (cos.f64 eps) 3)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1) 1) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))) (-.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))) 1)
(*.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 1)
(*.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 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))
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(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
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(sin.f64 x)
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(sin.f64 eps)
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(fma.f64 (cos.f64 eps) x (sin.f64 eps))
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(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 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))
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(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
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(-.f64 (+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sin.f64 x)) (sin.f64 x))
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(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.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)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.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)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2))))
(pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2))
(fabs.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))

eval472.0ms (3.4%)

Compiler

Compiled 35016 to 14058 computations (59.9% saved)

prune522.0ms (3.8%)

Pruning

80 alts after pruning (73 fresh and 7 done)

PrunedKeptTotal
New1198311229
Fresh134255
Picked011
Done268
Total1213801293
Error
0.0b
Counts
1293 → 80
Alt Table
Click to see full alt table
StatusErrorProgram
26.9b
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
16.7b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
35.7b
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
49.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
49.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
62.0b
(pow.f64 (sqrt.f64 (*.f64 -1 (sin.f64 x))) 2)
45.4b
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
47.6b
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
32.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
1.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 3)
36.3b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
20.0b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))))
12.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
22.4b
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
19.6b
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
11.7b
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
22.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))))
32.4b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x))))
0.6b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
16.7b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
32.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
16.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
33.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
41.1b
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
61.1b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
40.7b
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
16.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
31.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
34.3b
(-.f64 (sin.f64 eps) x)
47.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
32.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
40.3b
(+.f64 (-.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
26.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.5b
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
15.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (sin.f64 x)))
31.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
14.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
2.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 x)))
12.6b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (sin.f64 x)))
16.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
31.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
34.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
25.9b
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
28.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
32.6b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
32.0b
(+.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)))))
48.0b
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
34.0b
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
11.8b
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
30.5b
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
48.1b
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
32.6b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
33.9b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
14.9b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.8b
(*.f64 (cos.f64 x) eps)
48.0b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
25.8b
(sin.f64 eps)
59.9b
(neg.f64 (sin.f64 x))
32.0b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.3b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
26.0b
(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
40.7b
(log.f64 (exp.f64 (sin.f64 eps)))
48.1b
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
39.0b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.9b
(fabs.f64 (*.f64 (cos.f64 x) eps))
35.0b
(expm1.f64 (*.f64 (cos.f64 x) eps))
32.6b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
36.8b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
16.9b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
52.4b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
36.1b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
46.6b
eps
Compiler

Compiled 2776 to 1783 computations (35.8% saved)

localize19.0ms (0.1%)

Local error

Found 3 expressions with local error:

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

Compiled 36 to 16 computations (55.6% saved)

series4.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite106.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
1008×unswap-sqr
806×swap-sqr
692×associate-*r/
624×distribute-rgt-in
588×distribute-lft-in
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01469
128169
2338169
Stop Event
node limit
Counts
3 → 198
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
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 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 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 1 (+.f64 (cos.f64 eps) 1)) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 1 (+.f64 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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (-.f64 (pow.f64 (cos.f64 eps) 3) -1)) (+.f64 1 (*.f64 (cos.f64 eps) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (-.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 3)) (*.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) 1)))) (-.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) (pow.f64 (+.f64 (cos.f64 eps) 1) 3))) (+.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 3)) (*.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))) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 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egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (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 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (neg.f64 (cos.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) 1) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (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 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (cbrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 1 (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (cos.f64 eps) 2) 3) 1) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (+.f64 (*.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) 1) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (-.f64 (pow.f64 (cos.f64 eps) 3) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (pow.f64 (cos.f64 eps) 3) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 3) (pow.f64 (cos.f64 eps) 3)) (-.f64 1 (*.f64 (pow.f64 (cos.f64 eps) 3) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (+.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 -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 -1 (pow.f64 (cos.f64 eps) 3)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))) 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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))))))))

simplify132.0ms (1%)

Algorithm
egg-herbie
Rules
1154×associate-+l+
1072×associate-+r+
790×associate-*r*
706×+-commutative
702×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
053110726
1142610562
2610410562
Stop Event
node limit
Counts
258 → 320
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 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(-.f64 (cos.f64 eps) 1)
(-.f64 (+.f64 (cos.f64 eps) 1) 2)
(-.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(-.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
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(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))
(+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 1 (*.f64 (sin.f64 x) -1)))
(+.f64 (*.f64 1 (*.f64 (sin.f64 x) -1)) (*.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps))))
(+.f64 (*.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 1 (*.f64 -1 (sin.f64 x))))
(+.f64 (*.f64 1 (*.f64 -1 (sin.f64 x))) (*.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (sin.f64 x) -1) 1))
(+.f64 (*.f64 (*.f64 (sin.f64 x) -1) 1) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (*.f64 (*.f64 -1 (sin.f64 x)) 1))
(+.f64 (*.f64 (*.f64 -1 (sin.f64 x)) 1) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)
(/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1)))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.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 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (+.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (sin.f64 x) (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 1 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)))) (+.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 1 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x))) (+.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 (+.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) (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 (*.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 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.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 (pow.f64 (sin.f64 eps) 2) (sin.f64 x)) (-.f64 -1 (cos.f64 eps)))
(/.f64 (*.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 x)) (+.f64 (neg.f64 (cos.f64 eps)) -1))
(/.f64 (*.f64 (+.f64 1 (neg.f64 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2)))))
(/.f64 (*.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (+.f64 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.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 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 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 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (neg.f64 (*.f64 (sin.f64 x) (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 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 (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 1 (+.f64 (cos.f64 eps) (pow.f64 (cos.f64 eps) 2))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (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 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.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)))))
(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))))
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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
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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)))
(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))

localize12.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 (*.f64 x x) -1/2)
2.4b
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
Compiler

Compiled 30 to 16 computations (46.7% saved)

series3.0ms (0%)

Counts
2 → 36
Calls

9 calls:

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

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
1938×add-sqr-sqrt
1914×*-un-lft-identity
1784×add-cube-cbrt
1766×add-cbrt-cube
198×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01034
120734
2250734
Stop Event
node limit
Counts
2 → 34
Calls
Call 1
Inputs
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(*.f64 (*.f64 x x) -1/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 eps (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 eps (*.f64 (*.f64 x (*.f64 x -1/2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2))) eps)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1)) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1) eps) (fma.f64 x (*.f64 x -1/2) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) eps) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) 1)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (*.f64 x -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))))))

simplify62.0ms (0.5%)

Algorithm
egg-herbie
Rules
1130×associate-*r*
1010×associate-*l*
696×associate-+l+
672×log-prod
644×associate-+r+
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0981558
12441374
27481366
338941366
Stop Event
node limit
Counts
70 → 53
Calls
Call 1
Inputs
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 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 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 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (pow.f64 x 2))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 x -1/2))))
(+.f64 eps (*.f64 (*.f64 x (*.f64 x -1/2)) eps))
(+.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2))) eps)
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) eps) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))) 1)
(/.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1)) (fma.f64 x (*.f64 x -1/2) -1))
(/.f64 (*.f64 eps (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1) eps) (fma.f64 x (*.f64 x -1/2) -1))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) eps) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 3)
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 2))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) 1)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
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 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(*.f64 -1/2 (pow.f64 x 2))
(*.f64 -1/2 (*.f64 x x))
(+.f64 eps (*.f64 eps (*.f64 x (*.f64 x -1/2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (*.f64 (*.f64 x (*.f64 x -1/2)) eps))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (*.f64 eps (*.f64 x (*.f64 x -1/2))) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 (*.f64 (*.f64 x (*.f64 x -1/2)) eps) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))) 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(/.f64 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1)) (fma.f64 x (*.f64 x -1/2) -1))
(/.f64 eps (/.f64 (fma.f64 x (*.f64 -1/2 x) -1) (fma.f64 1/4 (pow.f64 x 4) -1)))
(*.f64 (/.f64 eps (fma.f64 -1/2 (*.f64 x x) -1)) (fma.f64 1/4 (pow.f64 x 4) -1))
(*.f64 eps (/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 -1/2 (*.f64 x x) -1)))
(/.f64 (*.f64 eps (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(/.f64 eps (/.f64 (fma.f64 1/4 (pow.f64 x 4) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 eps (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 -1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1))
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 eps (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1))))
(/.f64 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 x 4)) -1) eps) (fma.f64 x (*.f64 x -1/2) -1))
(/.f64 eps (/.f64 (fma.f64 x (*.f64 -1/2 x) -1) (fma.f64 1/4 (pow.f64 x 4) -1)))
(*.f64 (/.f64 eps (fma.f64 -1/2 (*.f64 x x) -1)) (fma.f64 1/4 (pow.f64 x 4) -1))
(*.f64 eps (/.f64 (fma.f64 1/4 (pow.f64 x 4) -1) (fma.f64 -1/2 (*.f64 x x) -1)))
(/.f64 (*.f64 (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3))) eps) (+.f64 (*.f64 1/4 (pow.f64 x 4)) (-.f64 1 (*.f64 x (*.f64 x -1/2)))))
(/.f64 eps (/.f64 (fma.f64 1/4 (pow.f64 x 4) (-.f64 1 (*.f64 -1/2 (*.f64 x x)))) (+.f64 1 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))))
(*.f64 (/.f64 eps (-.f64 (fma.f64 1/4 (pow.f64 x 4) 1) (*.f64 -1/2 (*.f64 x x)))) (fma.f64 -1/8 (pow.f64 x 6) 1))
(*.f64 eps (/.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1))))
(*.f64 (fma.f64 -1/8 (pow.f64 x 6) 1) (/.f64 eps (fma.f64 1/4 (pow.f64 x 4) (fma.f64 x (*.f64 x 1/2) 1))))
(pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 1)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (sqrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 2)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (cbrt.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 3)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(pow.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3) 1/3)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(sqrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 2))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(log.f64 (pow.f64 (exp.f64 (fma.f64 x (*.f64 x -1/2) 1)) eps))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(cbrt.f64 (pow.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps) 3))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(expm1.f64 (log1p.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(exp.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(exp.f64 (*.f64 (log.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(log1p.f64 (expm1.f64 (*.f64 (fma.f64 x (*.f64 x -1/2) 1) eps)))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 x (*.f64 eps (*.f64 -1/2 x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(-.f64 (fma.f64 x (*.f64 x -1/2) 1) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (*.f64 x -1/2)) 1)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 -1/2)) 2)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 x (*.f64 x -1/2))) 3)
(*.f64 -1/2 (*.f64 x x))
(pow.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)) 1/3)
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(sqrt.f64 (*.f64 1/4 (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x x)))
(*.f64 -1/2 (*.f64 x x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 x (*.f64 x -1/2)))))
(*.f64 -1/2 (*.f64 x x))
(cbrt.f64 (*.f64 -1/8 (pow.f64 (*.f64 x x) 3)))
(cbrt.f64 (*.f64 -1/8 (pow.f64 x 6)))
(expm1.f64 (log1p.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (log.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))
(exp.f64 (*.f64 (log.f64 (*.f64 x (*.f64 x -1/2))) 1))
(*.f64 -1/2 (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 x (*.f64 x -1/2))))
(*.f64 -1/2 (*.f64 x x))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.4b
(pow.f64 (sin.f64 eps) 3)
16.5b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
Compiler

Compiled 15 to 9 computations (40% saved)

series1.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
0.0ms
eps
@inf
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@-inf
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@0
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@0
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
0.0ms
eps
@inf
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))

rewrite53.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1262×add-sqr-sqrt
1232×*-un-lft-identity
1164×add-cube-cbrt
1152×add-cbrt-cube
1138×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0816
116316
2164216
Stop Event
node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (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 (cbrt.f64 (sin.f64 eps)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3))))) (#(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 *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(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 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 sin.f64 eps)))) (#(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 log1p.f64 (expm1.f64 (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3)))))))

simplify63.0ms (0.5%)

Algorithm
egg-herbie
Rules
1328×associate-/l*
1018×fma-def
820×unswap-sqr
726×distribute-lft-in
712×distribute-rgt-in
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0106789
1240671
2911553
32683549
46643549
Stop Event
node limit
Counts
55 → 65
Calls
Call 1
Inputs
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)))))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(pow.f64 eps 3)
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (*.f64 -41/3024 (pow.f64 eps 9)) (+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3))))
(-.f64 (+.f64 1 (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 (cbrt.f64 (sin.f64 eps)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(exp.f64 (log.f64 (sin.f64 eps)))
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1)
(*.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))
(*.f64 (pow.f64 (sin.f64 eps) 3) 1)
(*.f64 1 (pow.f64 (sin.f64 eps) 3))
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3) (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 6))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3)))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3)))
(exp.f64 (*.f64 3 (log.f64 (sin.f64 eps))))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3)))
Outputs
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))))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) eps))
(+.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))))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/5040 (pow.f64 eps 7) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 -1/5040 (pow.f64 eps 7) eps)))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(pow.f64 eps 3)
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (pow.f64 eps 3))
(fma.f64 -1/2 (pow.f64 eps 5) (pow.f64 eps 3))
(fma.f64 (pow.f64 eps 5) -1/2 (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3)))
(fma.f64 -1/2 (pow.f64 eps 5) (fma.f64 13/120 (pow.f64 eps 7) (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3)))
(+.f64 (*.f64 -41/3024 (pow.f64 eps 9)) (+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3))))
(fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 -1/2 (pow.f64 eps 5) (fma.f64 13/120 (pow.f64 eps 7) (pow.f64 eps 3))))
(fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3))))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3))))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (fma.f64 -41/3024 (pow.f64 eps 9) (pow.f64 eps 3))))
(-.f64 (+.f64 1 (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 (cbrt.f64 (sin.f64 eps)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (pow.f64 1 1/3) (sin.f64 eps))
(sin.f64 eps)
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3))
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(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)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(sin.f64 eps)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(sin.f64 eps)
(exp.f64 (log.f64 (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 (expm1.f64 (sin.f64 eps)))
(sin.f64 eps)
(-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (sin.f64 eps) 3) 1)
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 1 (pow.f64 (sin.f64 eps) 3))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3) (sin.f64 eps))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(sqrt.f64 (pow.f64 (sin.f64 eps) 6))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 3))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(exp.f64 (*.f64 3 (log.f64 (sin.f64 eps))))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3)))
(+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1))
(+.f64 (pow.f64 (sin.f64 eps) 3) 0)
(pow.f64 (sin.f64 eps) 3)

localize14.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(pow.f64 (sin.f64 eps) 3/2)
0.3b
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
3.4b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))
Compiler

Compiled 23 to 15 computations (34.8% saved)

series27.0ms (0.2%)

Counts
3 → 28
Calls

9 calls:

TimeVariablePointExpression
13.0ms
eps
@-inf
(pow.f64 (sin.f64 eps) 3/2)
12.0ms
eps
@inf
(pow.f64 (sin.f64 eps) 3/2)
1.0ms
eps
@0
(pow.f64 (sin.f64 eps) 3/2)
0.0ms
eps
@inf
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))
0.0ms
eps
@-inf
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))

rewrite59.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
1520×add-sqr-sqrt
1486×*-un-lft-identity
1400×add-cube-cbrt
1384×add-cbrt-cube
1370×add-exp-log
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01047
120325
2223825
Stop Event
node limit
Counts
3 → 59
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 eps) 3/2))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(pow.f64 (sin.f64 eps) 3/2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 eps)) 1)))) (#(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 (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 (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/4) (sqrt.f64 (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 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))))) (#(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 *.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(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 cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 eps)))) (#(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)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/4) (pow.f64 (sin.f64 eps) 3/4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 3/2) (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3/2)))))))

simplify55.0ms (0.4%)

Algorithm
egg-herbie
Rules
1460×distribute-lft-in
1384×distribute-rgt-in
1006×unswap-sqr
616×*-commutative
484×fma-def
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01341021
12741013
2988865
33377847
Stop Event
node limit
Counts
87 → 76
Calls
Call 1
Inputs
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sqrt.f64 (pow.f64 eps 3))
(+.f64 (sqrt.f64 (pow.f64 eps 3)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7))))
(+.f64 (*.f64 11/480 (sqrt.f64 (pow.f64 eps 11))) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)))))
(+.f64 (*.f64 11/480 (sqrt.f64 (pow.f64 eps 11))) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (+.f64 (*.f64 -127/120960 (sqrt.f64 (pow.f64 eps 15))) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7))))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) 1)
(*.f64 1 (sqrt.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))
(*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (sin.f64 eps)))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3))
(pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 1)
(pow.f64 (sin.f64 eps) 1/2)
(pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)
(sqrt.f64 (sin.f64 eps))
(fabs.f64 (sqrt.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1/3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(*.f64 (sin.f64 eps) 1)
(*.f64 1 (sin.f64 eps))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 (sin.f64 eps) 3/4) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(*.f64 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(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)))
(-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3/2)) 1)
(*.f64 (pow.f64 (sin.f64 eps) 3/2) 1)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps))
(*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps)))
(*.f64 1 (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (pow.f64 (sin.f64 eps) 3/4) (pow.f64 (sin.f64 eps) 3/4))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(*.f64 (pow.f64 1 3/2) (pow.f64 (sin.f64 eps) 3/2))
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3/2)))
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3/2)))
(exp.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1))
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3/2)))
Outputs
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sqrt.f64 (pow.f64 eps 3))
(pow.f64 eps 3/2)
(+.f64 (sqrt.f64 (pow.f64 eps 3)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7))))
(fma.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)) (sqrt.f64 (pow.f64 eps 3)))
(fma.f64 -1/4 (pow.f64 eps 7/2) (pow.f64 eps 3/2))
(+.f64 (*.f64 11/480 (sqrt.f64 (pow.f64 eps 11))) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)))))
(fma.f64 11/480 (sqrt.f64 (pow.f64 eps 11)) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)))))
(fma.f64 11/480 (sqrt.f64 (pow.f64 eps 11)) (fma.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)) (sqrt.f64 (pow.f64 eps 3))))
(fma.f64 -1/4 (pow.f64 eps 7/2) (fma.f64 11/480 (pow.f64 eps 11/2) (pow.f64 eps 3/2)))
(+.f64 (*.f64 11/480 (sqrt.f64 (pow.f64 eps 11))) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (+.f64 (*.f64 -127/120960 (sqrt.f64 (pow.f64 eps 15))) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7))))))
(fma.f64 11/480 (sqrt.f64 (pow.f64 eps 11)) (+.f64 (sqrt.f64 (pow.f64 eps 3)) (fma.f64 -127/120960 (sqrt.f64 (pow.f64 eps 15)) (*.f64 -1/4 (sqrt.f64 (pow.f64 eps 7))))))
(+.f64 (fma.f64 -1/4 (sqrt.f64 (pow.f64 eps 7)) (*.f64 -127/120960 (sqrt.f64 (pow.f64 eps 15)))) (fma.f64 11/480 (sqrt.f64 (pow.f64 eps 11)) (sqrt.f64 (pow.f64 eps 3))))
(fma.f64 11/480 (pow.f64 eps 11/2) (fma.f64 -1/4 (pow.f64 eps 7/2) (fma.f64 -127/120960 (pow.f64 eps 15/2) (pow.f64 eps 3/2))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(-.f64 (+.f64 1 (sqrt.f64 (sin.f64 eps))) 1)
(sqrt.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (sin.f64 eps)) 1)
(sqrt.f64 (sin.f64 eps))
(*.f64 1 (sqrt.f64 (sin.f64 eps)))
(sqrt.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (cbrt.f64 (sin.f64 eps)))
(sqrt.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (sqrt.f64 (cbrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(*.f64 (pow.f64 1 1/3) (sqrt.f64 (sin.f64 eps)))
(sqrt.f64 (sin.f64 eps))
(*.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/3))
(*.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/4)) (cbrt.f64 (pow.f64 (sin.f64 eps) 3/4)))
(pow.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/4) 1/6) 4)
(pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sqrt.f64 (sin.f64 eps)) 1)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sin.f64 eps) 1/2)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) 2)
(sqrt.f64 (sin.f64 eps))
(pow.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) 3)
(sqrt.f64 (sin.f64 eps))
(sqrt.f64 (sin.f64 eps))
(fabs.f64 (sqrt.f64 (sin.f64 eps)))
(sqrt.f64 (sin.f64 eps))
(log.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(expm1.f64 (log1p.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(exp.f64 (log.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1/3))
(sqrt.f64 (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 eps))) 1))
(sqrt.f64 (sin.f64 eps))
(log1p.f64 (expm1.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (sin.f64 eps))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(*.f64 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (pow.f64 (sin.f64 eps) 3/4) (sqrt.f64 (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 (cbrt.f64 (sin.f64 eps)) (*.f64 (cbrt.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (*.f64 (sqrt.f64 (sin.f64 eps)) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sin.f64 eps)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(sin.f64 eps)
(log.f64 (exp.f64 (sin.f64 eps)))
(sin.f64 eps)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sin.f64 eps)
(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)
(-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3/2)) 1)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 (sin.f64 eps) 3/2) 1)
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 eps)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 1 (pow.f64 (sin.f64 eps) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 (sin.f64 eps) 3/4) (pow.f64 (sin.f64 eps) 3/4))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sqrt.f64 (sin.f64 eps)))) (sqrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (sin.f64 eps))) (cbrt.f64 (sqrt.f64 (sin.f64 eps))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 1 3/2) (pow.f64 (sin.f64 eps) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 3/2))
(*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3/2))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3/2)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3/2)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(exp.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 eps) 3/2)) 1))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)
(log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3/2)))
(sqrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3/2)

localize27.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
0.4b
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
2.0b
(-.f64 (cos.f64 eps) 1)
16.5b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
Compiler

Compiled 74 to 31 computations (58.1% saved)

series6.0ms (0%)

Counts
4 → 44
Calls

21 calls:

TimeVariablePointExpression
1.0ms
eps
@0
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
1.0ms
x
@0
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
1.0ms
x
@inf
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
1.0ms
eps
@-inf
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
1.0ms
eps
@inf
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)

rewrite148.0ms (1.1%)

Algorithm
batch-egg-rewrite
Rules
1486×associate-*r/
1102×associate-*l/
346×add-sqr-sqrt
332×*-un-lft-identity
330×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
017112
1356112
24273112
Stop Event
node limit
Counts
4 → 334
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(-.f64 (cos.f64 eps) 1)
(pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
Outputs
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simplify232.0ms (1.7%)

Algorithm
egg-herbie
Rules
1802×associate-/l*
974×distribute-lft-in
910×distribute-rgt-in
834×*-commutative
620×associate-/r*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
091537654
1254837502
Stop Event
node limit
Counts
378 → 581
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.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)))))
(pow.f64 (sin.f64 eps) 3)
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(/.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 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2)))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x))) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 1 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x))) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (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 (*.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.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 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.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 (*.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) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.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) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
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 -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))))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.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 1/24 (*.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) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(+.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 (cos.f64 eps) -1)))
(*.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)))))
(pow.f64 (sin.f64 eps) 3)
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x))
(+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 x (*.f64 3 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x)))
(fma.f64 (*.f64 x x) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (fma.f64 2 (*.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 eps) (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (*.f64 x (*.f64 3 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))))
(+.f64 (*.f64 (pow.f64 x 2) (+.f64 (*.f64 -1/2 (pow.f64 (sin.f64 eps) 3)) (+.f64 (*.f64 2 (*.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (sin.f64 eps))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (sin.f64 eps))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (+.f64 (*.f64 (+.f64 (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (*.f64 -1/3 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (sin.f64 eps)) (+.f64 (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (-.f64 (cos.f64 eps) 1))))) (pow.f64 x 3)) (*.f64 (+.f64 (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2))) x))))
(fma.f64 (*.f64 x x) (fma.f64 -1/2 (pow.f64 (sin.f64 eps) 3) (fma.f64 2 (*.f64 (sin.f64 eps) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 eps) (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2)))))) (+.f64 (pow.f64 (sin.f64 eps) 3) (fma.f64 (fma.f64 -1/6 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (fma.f64 (*.f64 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) -4/3) (sin.f64 eps) (fma.f64 -1 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (*.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) -1))))) (pow.f64 x 3) (*.f64 x (*.f64 3 (*.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1)))))))
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(/.f64 (*.f64 (*.f64 (sin.f64 x) (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 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (*.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))) (cbrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.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 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sin.f64 x)) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sin.f64 x)) (neg.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (sin.f64 x) (/.f64 (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(/.f64 (sin.f64 x) (/.f64 (neg.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (-.f64 1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (+.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))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))))
(*.f64 (/.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.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 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (/.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.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 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (sqrt.f64 (+.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)))
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (/.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))))
(/.f64 (/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1)) (sin.f64 x))
(*.f64 (sin.f64 x) (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))))
(/.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 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1))))
(/.f64 (sin.f64 x) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (sqrt.f64 (+.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)))
(/.f64 (*.f64 (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1))))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1)))) (sqrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 (*.f64 (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (sqrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))) (sin.f64 x)))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (fma.f64 (cos.f64 eps) (cos.f64 eps) (+.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))) (/.f64 (sin.f64 x) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))
(/.f64 (sin.f64 x) (*.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (/.f64 (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2))) (/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (cbrt.f64 (+.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cos.f64 eps) 2)))))))
(pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 3)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) 1/3)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

eval484.0ms (3.5%)

Compiler

Compiled 35478 to 17788 computations (49.9% saved)

prune297.0ms (2.2%)

Pruning

85 alts after pruning (76 fresh and 9 done)

PrunedKeptTotal
New1079161095
Fresh86068
Picked011
Done3811
Total1090851175
Error
0.0b
Counts
1175 → 85
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
26.9b
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
16.7b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
16.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
35.7b
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
49.9b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
49.1b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
62.0b
(pow.f64 (sqrt.f64 (*.f64 -1 (sin.f64 x))) 2)
1.6b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
47.6b
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
32.4b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
1.6b
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 3)
36.3b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
26.5b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
20.0b
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))))
12.5b
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
11.7b
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x))))
11.8b
(/.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))))
22.9b
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))))
32.4b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 eps) (sin.f64 x))))
0.6b
(/.f64 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
16.7b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
32.3b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
16.7b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
33.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
41.1b
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
61.1b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
40.7b
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
16.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))))
31.9b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
32.3b
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
34.3b
(-.f64 (sin.f64 eps) x)
47.5b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
32.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
40.3b
(+.f64 (-.f64 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
26.0b
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
26.9b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.5b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
31.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
14.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
12.6b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (sin.f64 x)))
16.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
31.2b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
34.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
0.5b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
25.9b
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
28.1b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
32.6b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
32.0b
(+.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)))))
48.0b
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
11.8b
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
32.6b
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
33.9b
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
14.9b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
35.8b
(*.f64 (cos.f64 x) eps)
33.9b
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)))
62.0b
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
48.0b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
25.8b
(sin.f64 eps)
59.9b
(neg.f64 (sin.f64 x))
32.0b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
40.3b
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
26.0b
(log.f64 (exp.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
40.7b
(log.f64 (exp.f64 (sin.f64 eps)))
48.1b
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
39.0b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.9b
(fabs.f64 (*.f64 (cos.f64 x) eps))
35.0b
(expm1.f64 (*.f64 (cos.f64 x) eps))
32.6b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
36.8b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
16.9b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
16.9b
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) 3))
52.4b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
41.1b
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
51.5b
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
46.6b
eps
Compiler

Compiled 1443 to 961 computations (33.4% saved)

regimes196.0ms (1.4%)

Counts
129 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
(+.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)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (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 (-.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(log.f64 (exp.f64 (+.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)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (sin.f64 x)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))))) 3))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (/.f64 1 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
(/.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 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(+.f64 (-.f64 (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 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x))
(*.f64 (/.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (-.f64 x eps)))))) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))
(*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (*.f64 (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (cbrt.f64 (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (*.f64 (cbrt.f64 (sqrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))
(/.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))) (/.f64 (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (cbrt.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) 3) (pow.f64 (sin.f64 x) 3)))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
Calls

3 calls:

56.0ms
eps
55.0ms
x
43.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 2064 to 790 computations (61.7% saved)

regimes167.0ms (1.2%)

Counts
109 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
(+.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)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (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 (-.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))
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 1 (+.f64 (cos.f64 eps) -1))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(log.f64 (exp.f64 (+.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)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(cbrt.f64 (pow.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3)))
(+.f64 (pow.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (cbrt.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 3)
(+.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (+.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)) (sin.f64 x)))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(+.f64 (*.f64 (cos.f64 x) (log.f64 (exp.f64 (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (sin.f64 x)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
Calls

3 calls:

57.0ms
x
49.0ms
eps
32.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1283 to 508 computations (60.4% saved)

regimes190.0ms (1.4%)

Counts
83 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
(+.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)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

68.0ms
eps
64.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.0ms
x
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 875 to 375 computations (57.1% saved)

regimes173.0ms (1.3%)

Counts
81 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.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 1 (/.f64 1 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.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 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)) (sin.f64 x)))
(+.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)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 eps eps)))))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

3 calls:

53.0ms
eps
34.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.5b1x
0.5b1eps
0.5b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 851 to 367 computations (56.9% saved)

regimes99.0ms (0.7%)

Counts
72 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
Outputs
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
Calls

3 calls:

30.0ms
eps
30.0ms
x
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.2b1x
14.2b1eps
14.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 701 to 303 computations (56.8% saved)

regimes99.0ms (0.7%)

Counts
70 → 1
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
(*.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 1/2 (-.f64 eps (+.f64 (+.f64 x x) eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x (-.f64 eps x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(/.f64 (+.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)
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(fabs.f64 (-.f64 (sin.f64 eps) (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 -1 (sin.f64 x))) 2)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(cbrt.f64 (+.f64 1 (-.f64 (pow.f64 (sin.f64 eps) 3) 1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x)) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fabs.f64 (/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps 0) (+.f64 eps (+.f64 x x)))))) 1))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (sin.f64 x))
(-.f64 (sin.f64 eps) (expm1.f64 (log1p.f64 (sin.f64 x))))
(pow.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 3/2)) 2)
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 eps) (sin.f64 x)) 3))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 eps) (sin.f64 x))) 2)
(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 (sin.f64 eps) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
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:

33.0ms
eps
28.0ms
x
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.9b1x
14.9b1eps
14.9b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 679 to 298 computations (56.1% saved)

regimes85.0ms (0.6%)

Counts
22 → 3
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
(-.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 eps) (sin.f64 x))))
(+.f64 1 (-.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1))
(-.f64 (+.f64 (sin.f64 (+.f64 x eps)) 1) (-.f64 (sin.f64 x) -1))
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 (-.f64 eps x))) (cos.f64 (*.f64 1/2 (+.f64 eps x)))) 2)
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

31.0ms
eps
28.0ms
x
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
15.7b3x
14.3b3eps
15.1b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 172 to 84 computations (51.2% saved)

bsearch78.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
41.0ms
0.49817238015681475
469275804279.0003
37.0ms
-49103.33432319113
-0.00021123642362354906
Results
30.0ms197×body256valid
27.0ms66×body1024valid
9.0ms30×body512valid
7.0ms11×body2048valid
Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes45.0ms (0.3%)

Counts
13 → 3
Calls
Call 1
Inputs
eps
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(sin.f64 eps)
(neg.f64 (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) x)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(expm1.f64 (*.f64 (cos.f64 x) eps))
(fabs.f64 (*.f64 (cos.f64 x) eps))
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

23.0ms
eps
19.0ms
x
Results
ErrorSegmentsBranch
15.8b3x
15.0b3eps
Compiler

Compiled 80 to 40 computations (50% saved)

bsearch77.0ms (0.6%)

Algorithm
binary-search
Steps
TimeLeftRight
39.0ms
0.49817238015681475
469275804279.0003
38.0ms
-49103.33432319113
-0.00021123642362354906
Results
35.0ms206×body256valid
22.0ms55×body1024valid
9.0ms32×body512valid
7.0ms11×body2048valid
Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes14.0ms (0.1%)

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

2 calls:

7.0ms
eps
5.0ms
x
Results
ErrorSegmentsBranch
25.8b1x
25.8b1eps
Compiler

Compiled 48 to 27 computations (43.8% saved)

regimes12.0ms (0.1%)

Accuracy

Total -16.1b remaining (-34.6%)

Threshold costs -16.1b (-34.6%)

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

2 calls:

6.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
46.6b1x
46.6b1eps
Compiler

Compiled 43 to 24 computations (44.2% saved)

simplify11.0ms (0.1%)

Algorithm
egg-herbie
Rules
24×+-commutative
20×*-commutative
14×sub-neg
neg-mul-1
neg-sub0
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
049356
174356
285356
391356
494356
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.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 -7932099951695107/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1/2) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 1/2) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (/.f64 (sin.f64 x) (/.f64 (-.f64 -1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 -1 (cos.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.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 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.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 -7932099951695107/36893488147419103232) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1/2) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -7932099951695107/36893488147419103232) (not (<=.f64 eps 1/2))) (-.f64 (sin.f64 eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 1/2) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -7932099951695107/36893488147419103232) (sin.f64 eps) (if (<=.f64 eps 1/2) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 141 to 97 computations (31.2% saved)

soundness162.0ms (1.2%)

Algorithm
egg-herbie
Rules
1154×associate-+l+
1100×associate-*r*
1072×associate-+r+
898×associate-*l*
880×associate-/l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
072620845
1202119843
053110726
1142610562
2610410562
Stop Event
node limit
node limit
Compiler

Compiled 234 to 83 computations (64.5% saved)

end67.0ms (0.5%)

Compiler

Compiled 123 to 55 computations (55.3% saved)

Profiling

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