Details

Time bar (total: 12.8s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample4.1s (32.1%)

Results
2.0s3596×body1024valid
1.2s1303×body2048valid
486.0ms1379×body512valid
352.0ms1975×body256valid
4.0ms3×body4096valid
Bogosity

preprocess16.0ms (0.1%)

Algorithm
2×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
1×saturated
1×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)

simplify19.0ms (0.1%)

Algorithm
1×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
1×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
38.3b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶38.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓1.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓4.0b
(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))

rewrite93.0ms (0.7%)

Algorithm
1×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
1×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)))))))

simplify159.0ms (1.2%)

Algorithm
1×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
1×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))

eval78.0ms (0.6%)

Compiler

Compiled 6859 to 2143 computations (68.8% saved)

prune80.0ms (0.6%)

Pruning

33 alts after pruning (32 fresh and 1 done)

PrunedKeptTotal
New24232274
Fresh000
Picked011
Done000
Total24233275
Error
0.1b
Counts
275 → 33
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
31.1b
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
50.7b
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
49.0b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
38.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
38.9b
(/.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)
38.3b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
23.8b
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
39.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
26.0b
(-.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))
23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
40.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓38.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.8b
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
38.3b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
▶45.2b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
48.1b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
38.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
24.3b
(+.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))))
44.2b
(+.f64 (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
29.2b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
23.8b
(+.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)))
▶0.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
30.8b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
31.3b
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
39.0b
(+.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)))))
14.6b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
▶30.8b
(*.f64 (cos.f64 x) eps)
38.3b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
44.8b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
▶48.6b
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
Compiler

Compiled 1023 to 662 computations (35.3% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
✓0.1b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
✓0.6b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series5.0ms (0%)

Counts
3 → 60
Calls

15 calls:

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

rewrite104.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01469
128769
2353269
Stop Event
1×node limit
Counts
3 → 186
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (cos.f64 eps) 1) 2)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log.f64 (+.f64 0 (cos.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 -1 (+.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 2) (cbrt.f64 (+.f64 (cos.f64 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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))))) (#(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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))) (+.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) 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simplify119.0ms (0.9%)

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

Useful iterations: 2 (0.0ms)

IterNodesCost
050410294
1134810134
2607510122
Stop Event
1×node limit
Counts
246 → 306
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
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(/.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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.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)))) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (*.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) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (*.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 (*.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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (sin.f64 x) 2)) 1) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (cos.f64 eps) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (*.f64 (sqrt.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) 1) (+.f64 (cos.f64 eps) 1))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) 1) (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.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 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))) (sqrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(/.f64 (/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (*.f64 (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))) (cbrt.f64 (+.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps)))))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (neg.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (cos.f64 eps) (sin.f64 x))) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 1) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
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(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) 2))
(fabs.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize6.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series2.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite47.0ms (0.4%)

Algorithm
1×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
1×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)))))))

simplify89.0ms (0.7%)

Algorithm
1×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
1×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
✓1.6b
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
✓4.0b
(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
x
@-inf
(sin.f64 (+.f64 eps x))

rewrite87.0ms (0.7%)

Algorithm
1×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
1×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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(#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (*.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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) 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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)) 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)))))))

simplify122.0ms (1%)

Algorithm
1×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
1×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)))
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(/.f64 (*.f64 1 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.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))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 2 (+.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)
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x)))) 1) (-.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (*.f64 (neg.f64 (sin.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) 1) (neg.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) 1) (neg.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))
(/.f64 (*.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)) (cbrt.f64 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 1 (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 (pow.f64 (sin.f64 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))
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(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 (+.f64 eps x)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (+.f64 (+.f64 (*.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 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (*.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))))) (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6)) (*.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)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 x eps))) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 6) (pow.f64 (sin.f64 x) 6))))
(/.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 (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)
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 eps (fma.f64 2 x eps)))) (sin.f64 (*.f64 1/2 (+.f64 eps (fma.f64 2 x eps)))))
(/.f64 (/.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 (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)) 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))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (sin.f64 (+.f64 x eps)))
✓3.5b
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
4.0b
(sin.f64 (+.f64 x eps))
✓10.9b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series8.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
6.0ms
eps
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@0
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@0
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
0.0ms
x
@-inf
(exp.f64 (sin.f64 (+.f64 x eps)))
0.0ms
eps
@inf
(exp.f64 (sin.f64 (+.f64 x eps)))

rewrite91.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01147
123247
2307247
Stop Event
1×node limit
Counts
3 → 189
Calls
Call 1
Inputs
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (sin.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (+.f64 (neg.f64 (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 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(*.f64 (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1) (*.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 0 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2)) (cbrt.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (sin.f64 (+.f64 x eps)))))))))

simplify187.0ms (1.5%)

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

Useful iterations: 2 (0.0ms)

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

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓0.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series5.0ms (0%)

Counts
4 → 80
Calls

24 calls:

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

rewrite149.0ms (1.2%)

Algorithm
1×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
1×node limit
Counts
4 → 241
Calls
Call 1
Inputs
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
((#(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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simplify256.0ms (2%)

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

Useful iterations: 1 (0.0ms)

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

eval907.0ms (7.1%)

Compiler

Compiled 40260 to 15226 computations (62.2% saved)

prune565.0ms (4.4%)

Pruning

48 alts after pruning (44 fresh and 4 done)

PrunedKeptTotal
New1450301480
Fresh131427
Picked011
Done235
Total1465481513
Error
0.0b
Counts
1513 → 48
Alt Table
Click to see full alt table
StatusErrorProgram
▶0.3b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
▶0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
✓0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
31.1b
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
31.3b
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
49.0b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
48.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
38.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
31.5b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
39.7b
(/.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 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
16.7b
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
38.3b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
23.8b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
39.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
40.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
✓38.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
30.8b
(-.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
48.1b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
38.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
29.2b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓0.3b
(+.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)))
16.1b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
27.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
0.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
39.0b
(+.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)))))
27.0b
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶46.0b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
16.8b
(*.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)))
14.6b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
✓30.8b
(*.f64 (cos.f64 x) eps)
27.8b
(sin.f64 eps)
▶38.3b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
30.4b
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
48.6b
(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))
48.8b
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
37.5b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.1b
(fabs.f64 (*.f64 (cos.f64 x) eps))
▶51.9b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
44.1b
eps
Compiler

Compiled 1406 to 968 computations (31.2% saved)

localize17.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
✓0.2b
(*.f64 (cos.f64 eps) (sin.f64 x))
✓0.7b
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))
Compiler

Compiled 43 to 10 computations (76.7% saved)

series2.0ms (0%)

Counts
3 → 56
Calls

18 calls:

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

rewrite104.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
706×distribute-rgt-in
670×distribute-lft-in
642×associate-*r/
544×associate-*l/
304×add-sqr-sqrt
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01481
128873
2382873
Stop Event
1×node limit
Counts
3 → 248
Calls
Call 1
Inputs
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
Outputs
((#(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 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.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 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (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 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (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 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))))) (#(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 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))) (+.f64 (sin.f64 x) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (sin.f64 x) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.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 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 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))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (sin.f64 x) -1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) -1 (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 (sin.f64 x) (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))) 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 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (-.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 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x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.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))) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.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)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))))

simplify199.0ms (1.5%)

Algorithm
1×egg-herbie
Rules
1046×associate-*r*
982×associate-/l*
946×associate-*l*
640×associate-/r*
608×+-commutative
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
063017248
1186216838
Stop Event
1×node limit
Counts
304 → 458
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.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 (-.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))
(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))))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.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 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
(-.f64 0 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) (-.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))) (+.f64 (sin.f64 x) 1))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 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 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) 1 (sin.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (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 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) -1 (sin.f64 x))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (+.f64 (sin.f64 x) (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))) 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 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 1)
(*.f64 1 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (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 (sin.f64 x)) (+.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (neg.f64 (sqrt.f64 (sin.f64 x)))))
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(*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps))))
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(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) 1 (sin.f64 x)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (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 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (fma.f64 (sin.f64 x) -1 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 0) (sin.f64 x))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 0) (sin.f64 x))
(+.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 1) (sin.f64 x))
(+.f64 (*.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 0 (-.f64 (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))) 1)
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 0) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 0) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(-.f64 (+.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(-.f64 (+.f64 (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) (exp.f64 (log1p.f64 (*.f64 (cos.f64 eps) (sin.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 0) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (/.f64 (pow.f64 (sin.f64 x) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(-.f64 (-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) 0) (sin.f64 x))
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.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)) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (*.f64 1 (+.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))) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (*.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)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
Outputs
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 (*.f64 -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 (*.f64 eps eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.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))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
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(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))))
(/.f64 (*.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)) 1) (-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (-.f64 (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) 2)) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (*.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) (-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 1)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3) 1/3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (cos.f64 eps) (sin.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))))
✓0.0b
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
✓6.3b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series6.0ms (0%)

Counts
3 → 72
Calls

18 calls:

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

rewrite113.0ms (0.9%)

Algorithm
1×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
1×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)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))))) (-.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) (-.f64 1 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 eps eps) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))) (/.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4) (+.f64 eps (*.f64 (*.f64 x x) (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 eps (exp.f64 (log1p.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2))) (exp.f64 (log1p.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 1 (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (*.f64 (*.f64 x 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(/.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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 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simplify101.0ms (0.8%)

Algorithm
1×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
1×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))
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eps
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(/.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))
(*.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 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 (*.f64 eps -1/2) (*.f64 x x))
(*.f64 x (*.f64 x (*.f64 eps -1/2)))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 eps (+.f64 1 (*.f64 -1/2 (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(*.f64 -1 (*.f64 eps (-.f64 (*.f64 1/2 (pow.f64 x 2)) 1)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
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(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (*.f64 (fma.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)) 1) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(/.f64 (/.f64 (+.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)) 1) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(/.f64 (/.f64 (+.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)))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) 1) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 1)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 2)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (cbrt.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)) 3)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(pow.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3) 1/3)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(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))))))
(*.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (/.f64 1 (+.f64 eps (*.f64 x (*.f64 x (*.f64 eps 1/2))))))
(/.f64 (fma.f64 eps eps (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) -1/4)) (fma.f64 x (*.f64 x (*.f64 eps 1/2)) eps))
(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))))))
(/.f64 (*.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) 1) (fma.f64 eps eps (fma.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4 (*.f64 1/2 (pow.f64 (*.f64 eps x) 2)))))
(/.f64 (+.f64 (pow.f64 eps 3) (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 6)) (fma.f64 eps eps (fma.f64 1/2 (pow.f64 (*.f64 eps x) 2) (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4))))
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 2))
(fabs.f64 (*.f64 eps (fma.f64 x (*.f64 x -1/2) 1)))
(log.f64 (exp.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(cbrt.f64 (pow.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps) 3))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(expm1.f64 (log1p.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(exp.f64 (log.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(log1p.f64 (expm1.f64 (fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (*.f64 eps (*.f64 x x)) -1/2 eps)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 1 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 1 (*.f64 x (*.f64 x (*.f64 eps -1/2))) eps)
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) eps)
(+.f64 (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2) eps)
(+.f64 eps (pow.f64 (*.f64 x (sqrt.f64 (*.f64 eps -1/2))) 2))
(fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) (*.f64 x (*.f64 x (*.f64 eps -1/2))))
(*.f64 eps (fma.f64 (*.f64 x x) -1/2 1))
(*.f64 eps (fma.f64 x (*.f64 x -1/2) 1))
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 x (*.f64 x (*.f64 eps -1/2)))) eps)
(fma.f64 (cbrt.f64 (*.f64 (pow.f64 (*.f64 x (sqrt.f64 eps)) 4) 1/4)) (cbrt.f64 (*.f64 (*.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))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
0.1b
(*.f64 (cos.f64 x) eps)
✓41.5b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
Compiler

Compiled 24 to 10 computations (58.3% saved)

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@-inf
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
2.0ms
eps
@-inf
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
1.0ms
x
@0
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
1.0ms
x
@inf
(pow.f64 (*.f64 (cos.f64 x) eps) 3)
0.0ms
eps
@0
(pow.f64 (*.f64 (cos.f64 x) eps) 3)

rewrite61.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

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

simplify77.0ms (0.6%)

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

Useful iterations: 3 (0.0ms)

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

localize12.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.1b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
✓0.1b
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.6b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
4.0b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 37 to 8 computations (78.4% saved)

series2.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
1066×associate-*r/
980×distribute-rgt-in
942×distribute-lft-in
902×associate-*l/
352×associate-+l+
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01146
124846
2333646
Stop Event
1×node limit
Counts
2 → 190
Calls
Call 1
Inputs
(expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (-.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 1 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)) (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) 1)) (+.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 1 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1) 1) (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) 1) 1) (+.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (+.f64 1 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))
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eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(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 cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x 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)))))))

simplify203.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
1694×associate-+r-
980×fma-def
634×+-commutative
624×associate-*r*
524×associate-*l*
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
057513156
1163512518
2713612518
Stop Event
1×node limit
Counts
238 → 316
Calls
Call 1
Inputs
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x))))))))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 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 (+.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 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 0)
(+.f64 1 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1))
(+.f64 1 (-.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(+.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1)
(+.f64 -1 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1) -1)
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(-.f64 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 2)
(*.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(*.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
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(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))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(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
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(expm1.f64 (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(+.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (exp.f64 (sin.f64 eps))) (expm1.f64 (sin.f64 eps)))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (exp.f64 (sin.f64 eps)) (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (exp.f64 (sin.f64 eps)) (*.f64 x x)) (exp.f64 (sin.f64 eps)))) -1)
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 x x)))) (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps))) (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(+.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (fma.f64 (+.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) (*.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)))) (*.f64 (exp.f64 (sin.f64 eps)) (pow.f64 x 3)) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (exp.f64 (sin.f64 eps)) (*.f64 x x)) (exp.f64 (sin.f64 eps))))) -1)
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (exp.f64 (sin.f64 eps)) x) (+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (fma.f64 -1/2 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)) (*.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))) (fma.f64 (cos.f64 eps) -1/6 1/6)) (pow.f64 x 3)) (*.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 x x)))) (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (*.f64 (cos.f64 x) eps))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (*.f64 eps (cos.f64 x)))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x)))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/6 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/2 (sin.f64 x))))) (*.f64 eps (cos.f64 x))))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -1/6 (pow.f64 (cos.f64 x) 2)) (+.f64 (*.f64 1/8 (pow.f64 (sin.f64 x) 2)) (+.f64 (*.f64 1/24 (sin.f64 x)) (+.f64 (*.f64 -1/4 (*.f64 (pow.f64 (cos.f64 x) 2) (sin.f64 x))) (*.f64 1/24 (pow.f64 (cos.f64 x) 4))))))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 (pow.f64 eps 4) (fma.f64 -1/6 (pow.f64 (cos.f64 x) 2) (fma.f64 1/8 (pow.f64 (sin.f64 x) 2) (fma.f64 1/24 (sin.f64 x) (fma.f64 -1/4 (*.f64 (sin.f64 x) (pow.f64 (cos.f64 x) 2)) (*.f64 1/24 (pow.f64 (cos.f64 x) 4)))))) (fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 1/2 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (sin.f64 x))) (fma.f64 (pow.f64 eps 4) (fma.f64 -1/6 (pow.f64 (cos.f64 x) 2) (fma.f64 1/8 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 1/24 (pow.f64 (cos.f64 x) 4)) (*.f64 (sin.f64 x) (+.f64 1/24 (*.f64 (pow.f64 (cos.f64 x) 2) -1/4)))))) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/6 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 -1/2 (sin.f64 x))))) (*.f64 eps (cos.f64 x)))))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))) 1)
(expm1.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))
(+.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 (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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(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)))))
(+.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 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 0)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 1 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 1 (-.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) -1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 -1 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(+.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1) -1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) 2)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1)
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) (cbrt.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(/.f64 (-.f64 (*.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1) (+.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(/.f64 (fma.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) -1) (+.f64 2 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(/.f64 (expm1.f64 (*.f64 2 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) (+.f64 1 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
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(/.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 (sin.f64 (+.f64 eps x)) (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 (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 (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 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (/.f64 (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.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 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (/.f64 (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (sqrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (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 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (/.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))
(/.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 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (/.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))))
(*.f64 (/.f64 (cbrt.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))
(/.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 (pow.f64 (sin.f64 (+.f64 eps x)) 4) (pow.f64 (sin.f64 x) 4)) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(*.f64 (/.f64 (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 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 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 3) (pow.f64 (pow.f64 (sin.f64 x) 2) 3)) (*.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 4) (pow.f64 (sin.f64 x) 4)) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 4) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 4))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3))) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (*.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (/.f64 1 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (+.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (+.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (pow.f64 (sin.f64 x) 6)) (*.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 (/.f64 (-.f64 (pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 3) (pow.f64 (pow.f64 (sin.f64 x) 3) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 6) (fma.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 x) 6))))
(/.f64 (*.f64 (+.f64 (sin.f64 (-.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (+.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2) 2)
(/.f64 (+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 x (-.f64 eps x)) (+.f64 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 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 1) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (cos.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x))))) 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 1/2 (+.f64 eps (-.f64 x x)))))) 1/2)
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 1) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (sqrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(/.f64 (/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (*.f64 (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (cbrt.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (*.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(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))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(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))

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.6b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 34 to 13 computations (61.8% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite69.0ms (0.5%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01437
128137
2337737
Stop Event
1×node limit
Counts
1 → 47
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) -1)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))))

simplify105.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
994×distribute-lft-in
948×distribute-rgt-in
738×fma-def
616×unswap-sqr
572×associate-/l*
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01563553
14213549
214163527
353813515
Stop Event
1×node limit
Counts
71 → 81
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 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) -1) (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 -1 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (sin.f64 x) -1))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) -1)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (*.f64 -1 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 -1 (sin.f64 x))) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (-.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1) (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) 1)
(*.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(*.f64 (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))) (*.f64 (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2))))
(*.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) (sqrt.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(*.f64 (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (*.f64 (sqrt.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)) (cbrt.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 3)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (*.f64 eps eps) (*.f64 -1/2 (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))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.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)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (*.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) 1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) 1) (+.f64 (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (fma.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.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)) (fma.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))) (*.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))
(pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3) 1/3)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 2))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))

eval874.0ms (6.8%)

Compiler

Compiled 41615 to 16630 computations (60% saved)

prune586.0ms (4.6%)

Pruning

57 alts after pruning (50 fresh and 7 done)

PrunedKeptTotal
New1582181600
Fresh73239
Picked011
Done268
Total1591571648
Error
0.0b
Counts
1648 → 57
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓0.3b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
27.0b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
▶0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
✓0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
31.1b
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
31.3b
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
49.0b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
48.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
38.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
31.5b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
16.7b
(/.f64 (-.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cos.f64 x) 2)) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
38.3b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
23.8b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
39.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
40.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
0.3b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
✓38.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
30.8b
(-.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
48.1b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
38.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
29.2b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓0.3b
(+.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)))
16.1b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
27.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
38.7b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
39.0b
(+.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)))))
27.0b
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓46.0b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
▶31.0b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
16.8b
(*.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)))
31.5b
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
46.7b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
▶38.2b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
14.6b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
✓30.8b
(*.f64 (cos.f64 x) eps)
▶27.8b
(sin.f64 eps)
▶44.8b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
30.6b
(log1p.f64 (*.f64 (cos.f64 x) eps))
38.5b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
27.8b
(log1p.f64 (expm1.f64 (sin.f64 eps)))
30.4b
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
48.6b
(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))
48.8b
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
37.5b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.1b
(fabs.f64 (*.f64 (cos.f64 x) eps))
✓51.9b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
44.1b
eps
Compiler

Compiled 1514 to 1038 computations (31.4% saved)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.2b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.7b
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series1.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
754×associate-*r/
746×distribute-rgt-in
702×distribute-lft-in
644×associate-*l/
294×add-sqr-sqrt
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01341
127237
2356821
Stop Event
1×node limit
Counts
1 → 57
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 eps 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)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (sin.f64 (+.f64 eps x)) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))))) (#(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 exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))

simplify87.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
1282×associate-*r/
1278×fma-def
974×+-commutative
810×associate-+l-
796×associate-+r-
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01884109
15253909
217873769
357153751
Stop Event
1×node limit
Counts
81 → 112
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.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)) (*.f64 (sin.f64 eps) (cos.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)) (*.f64 (sin.f64 eps) (cos.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 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))
(+.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (neg.f64 (sin.f64 x)))
(+.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (-.f64 (sin.f64 (+.f64 eps x)) (exp.f64 (log1p.f64 (sin.f64 x)))) 1)
(+.f64 (*.f64 1 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 (+.f64 eps x)) 1) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) 1) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) (-.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (-.f64 (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))))
(-.f64 (+.f64 (sin.f64 (+.f64 eps x)) 0) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) 1)
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))))
(-.f64 (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (cos.f64 eps) 1)))))
(*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))
(*.f64 (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 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(/.f64 (*.f64 1 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(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))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(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 (*.f64 (*.f64 -1/2 x) x) (sin.f64 eps) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (+.f64 (neg.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (+.f64 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
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(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (fma.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (+.f64 (cos.f64 eps) 1))))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (*.f64 (cos.f64 eps) (cos.f64 eps)) (+.f64 (cos.f64 eps) 1)))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (+.f64 (cos.f64 eps) 1) (*.f64 (cos.f64 eps) (cos.f64 eps)))))) (/.f64 (pow.f64 (sin.f64 x) 3) (*.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (+.f64 (cos.f64 eps) 1) (*.f64 (cos.f64 eps) (cos.f64 eps))))))
(*.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (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 eps)) (sin.f64 x))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (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 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(/.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.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))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 1 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3))) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) 1) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps)))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (fma.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))
(/.f64 (*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) 1) (+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (*.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))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps)))) (*.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (sin.f64 eps))) (*.f64 (sin.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (neg.f64 (sin.f64 eps))))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)
(-.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 eps)) (sin.f64 x))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.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 eps)) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))
(-.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 eps)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (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 eps)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 eps x)) (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 eps)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 1))
(-.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 eps)) (sin.f64 x))

localize4.0ms (0%)

Compiler

Compiled 5 to 3 computations (40% saved)

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.1b
(exp.f64 (sin.f64 eps))
✓0.2b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
✓2.6b
(-.f64 (exp.f64 (sin.f64 eps)) 1)
Compiler

Compiled 20 to 10 computations (50% saved)

series57.0ms (0.4%)

Counts
3 → 20
Calls

9 calls:

TimeVariablePointExpression
45.0ms
eps
@inf
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
10.0ms
eps
@-inf
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
1.0ms
eps
@0
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
0.0ms
eps
@0
(-.f64 (exp.f64 (sin.f64 eps)) 1)
0.0ms
eps
@inf
(-.f64 (exp.f64 (sin.f64 eps)) 1)

rewrite107.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
1488×add-sqr-sqrt
1472×*-un-lft-identity
1370×add-cube-cbrt
1356×add-cbrt-cube
1342×add-exp-log
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118023
2189623
Stop Event
1×node limit
Counts
3 → 77
Calls
Call 1
Inputs
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(exp.f64 (sin.f64 eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) (sqrt.f64 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2) (cbrt.f64 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (sin.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1) (-.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (+.f64 (exp.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (-.f64 (exp.f64 (sin.f64 eps)) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (-.f64 1 (*.f64 (exp.f64 (sin.f64 eps)) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))) -1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))) (log.f64 (sqrt.f64 (exp.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 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x 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 +.f64 1 (expm1.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (expm1.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (exp.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 2)) (-.f64 1 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2) (expm1.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (E.f64) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (exp.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (sin.f64 eps))))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
1208×fma-def
1050×unswap-sqr
764×associate-+l-
710×associate-+r-
554×+-commutative
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01821759
13881679
216891377
369021377
Stop Event
1×node limit
Counts
97 → 119
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/15 (pow.f64 eps 5)))))
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)
1
(+.f64 eps 1)
(+.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(+.f64 -1 (exp.f64 (sin.f64 eps)))
(*.f64 1 (expm1.f64 (sin.f64 eps)))
(*.f64 (expm1.f64 (sin.f64 eps)) 1)
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) (sqrt.f64 (expm1.f64 (sin.f64 eps))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2) (cbrt.f64 (expm1.f64 (sin.f64 eps))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1) (-.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (+.f64 (exp.f64 (sin.f64 eps)) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (-.f64 (exp.f64 (sin.f64 eps)) -1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (-.f64 1 (*.f64 (exp.f64 (sin.f64 eps)) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))
(pow.f64 (expm1.f64 (sin.f64 eps)) 1)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 3)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3))
(expm1.f64 (sin.f64 eps))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 eps))) 1))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 eps))))
(fma.f64 1 (exp.f64 (sin.f64 eps)) -1)
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))) -1)
(+.f64 0 (sin.f64 eps))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 eps)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))))
(-.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 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (sin.f64 eps) 1)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (exp.f64 (sin.f64 eps)))
(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))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(+.f64 (expm1.f64 (sin.f64 eps)) 1)
(+.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) -1)
(-.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) 1)
(*.f64 (exp.f64 (sin.f64 eps)) 1)
(*.f64 1 (exp.f64 (sin.f64 eps)))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 1))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 2)) (-.f64 1 (expm1.f64 (sin.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2) (expm1.f64 (sin.f64 eps)))))
(pow.f64 (exp.f64 (sin.f64 eps)) 1)
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 2)
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 3)
(pow.f64 (E.f64) (sin.f64 eps))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) 1/3)
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2))
(log.f64 (exp.f64 (exp.f64 (sin.f64 eps))))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 eps))))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 eps))))
Outputs
eps
(+.f64 eps (*.f64 1/2 (pow.f64 eps 2)))
(+.f64 eps (*.f64 1/2 (*.f64 eps eps)))
(fma.f64 1/2 (*.f64 eps eps) eps)
(fma.f64 eps (*.f64 eps 1/2) eps)
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (*.f64 1/2 (pow.f64 eps 2))))
(fma.f64 -1/8 (pow.f64 eps 4) (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(fma.f64 -1/8 (pow.f64 eps 4) (fma.f64 1/2 (*.f64 eps eps) eps))
(fma.f64 -1/8 (pow.f64 eps 4) (fma.f64 eps (*.f64 eps 1/2) eps))
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (+.f64 (*.f64 1/2 (pow.f64 eps 2)) (*.f64 -1/15 (pow.f64 eps 5)))))
(fma.f64 -1/8 (pow.f64 eps 4) (+.f64 eps (fma.f64 1/2 (*.f64 eps eps) (*.f64 -1/15 (pow.f64 eps 5)))))
(+.f64 (fma.f64 -1/15 (pow.f64 eps 5) (*.f64 eps (*.f64 eps 1/2))) (fma.f64 -1/8 (pow.f64 eps 4) eps))
(fma.f64 -1/8 (pow.f64 eps 4) (fma.f64 eps (*.f64 eps 1/2) (fma.f64 -1/15 (pow.f64 eps 5) eps)))
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 (pow.f64 eps 5) 1/120)))
(fma.f64 (pow.f64 eps 5) 1/120 (fma.f64 -1/6 (pow.f64 eps 3) 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 -1/5040 (pow.f64 eps 7) (*.f64 (pow.f64 eps 5) 1/120)))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 (pow.f64 eps 5) 1/120 (*.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)
1
(+.f64 eps 1)
(+.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 eps 2))))
(+.f64 (+.f64 eps 1) (*.f64 1/2 (*.f64 eps eps)))
(+.f64 eps (fma.f64 1/2 (*.f64 eps eps) 1))
(+.f64 eps (fma.f64 eps (*.f64 eps 1/2) 1))
(+.f64 (*.f64 -1/8 (pow.f64 eps 4)) (+.f64 eps (+.f64 1 (*.f64 1/2 (pow.f64 eps 2)))))
(fma.f64 -1/8 (pow.f64 eps 4) (+.f64 (+.f64 eps 1) (*.f64 1/2 (*.f64 eps eps))))
(+.f64 (fma.f64 -1/8 (pow.f64 eps 4) (fma.f64 1/2 (*.f64 eps eps) eps)) 1)
(+.f64 eps (fma.f64 -1/8 (pow.f64 eps 4) (fma.f64 eps (*.f64 eps 1/2) 1)))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(+.f64 -1 (exp.f64 (sin.f64 eps)))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 1 (expm1.f64 (sin.f64 eps)))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 (expm1.f64 (sin.f64 eps)) 1)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) (sqrt.f64 (expm1.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 2) (cbrt.f64 (expm1.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (/.f64 1 (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (+.f64 1 (exp.f64 (sin.f64 eps))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (sin.f64 eps)))) (+.f64 2 (expm1.f64 (sin.f64 eps))))
(*.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 1 (exp.f64 (sin.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (+.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (fma.f64 (exp.f64 (sin.f64 eps)) (+.f64 2 (expm1.f64 (sin.f64 eps))) 1))
(*.f64 (+.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1) (-.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(/.f64 1 (/.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (+.f64 1 (exp.f64 (sin.f64 eps))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (sin.f64 eps)))) (+.f64 2 (expm1.f64 (sin.f64 eps))))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 1 (exp.f64 (sin.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (+.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (fma.f64 (exp.f64 (sin.f64 eps)) (+.f64 2 (expm1.f64 (sin.f64 eps))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (+.f64 (exp.f64 (sin.f64 eps)) 1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (+.f64 1 (exp.f64 (sin.f64 eps))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (sin.f64 eps)))) (+.f64 2 (expm1.f64 (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1) (-.f64 (exp.f64 (sin.f64 eps)) -1))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (+.f64 1 (exp.f64 (sin.f64 eps))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (sin.f64 eps)))) (+.f64 2 (expm1.f64 (sin.f64 eps))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 1 (exp.f64 (sin.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (+.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (fma.f64 (exp.f64 (sin.f64 eps)) (+.f64 2 (expm1.f64 (sin.f64 eps))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (-.f64 1 (*.f64 (exp.f64 (sin.f64 eps)) -1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 1 (exp.f64 (sin.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (+.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (fma.f64 (exp.f64 (sin.f64 eps)) (+.f64 2 (expm1.f64 (sin.f64 eps))) 1))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) -1)) (neg.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1)))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (/.f64 1 (+.f64 1 (exp.f64 (sin.f64 eps)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 2)) (+.f64 1 (exp.f64 (sin.f64 eps))))
(/.f64 (+.f64 -1 (exp.f64 (*.f64 2 (sin.f64 eps)))) (+.f64 2 (expm1.f64 (sin.f64 eps))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) -1)) (neg.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 (exp.f64 (sin.f64 eps)) 1))))
(*.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (/.f64 1 (+.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2) (+.f64 1 (exp.f64 (sin.f64 eps))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (+.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (pow.f64 (exp.f64 (sin.f64 eps)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 eps)) 3)) (fma.f64 (exp.f64 (sin.f64 eps)) (+.f64 2 (expm1.f64 (sin.f64 eps))) 1))
(pow.f64 (expm1.f64 (sin.f64 eps)) 1)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 eps))) 2)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 eps))) 3)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3) 1/3)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 3))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(expm1.f64 (sin.f64 eps))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(exp.f64 (log.f64 (expm1.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 eps))) 1))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(fma.f64 1 (exp.f64 (sin.f64 eps)) -1)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))) -1)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))) -1)
(+.f64 (exp.f64 (sin.f64 eps)) -1)
(expm1.f64 (sin.f64 eps))
(+.f64 0 (sin.f64 eps))
(sin.f64 eps)
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 eps)))))
(sin.f64 eps)
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (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 1 (sin.f64 eps))
(sin.f64 eps)
(*.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))
(sin.f64 eps)
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))
(sin.f64 eps)
(pow.f64 (sin.f64 eps) 1)
(sin.f64 eps)
(pow.f64 (sqrt.f64 (sin.f64 eps)) 2)
(sin.f64 eps)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(sin.f64 eps)
(pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)
(sin.f64 eps)
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(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)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(+.f64 (expm1.f64 (sin.f64 eps)) 1)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(+.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) -1)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(-.f64 (+.f64 (exp.f64 (sin.f64 eps)) 1) 1)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (exp.f64 (sin.f64 eps)) 1)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 1 (exp.f64 (sin.f64 eps)))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (sqrt.f64 (exp.f64 (sin.f64 eps))))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) (*.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 1))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (cbrt.f64 (exp.f64 (sin.f64 eps))))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(*.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2) (*.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 1))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(/.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 2)) (-.f64 1 (expm1.f64 (sin.f64 eps))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2) (expm1.f64 (sin.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (+.f64 (pow.f64 (expm1.f64 (sin.f64 eps)) 2) (-.f64 1 (expm1.f64 (sin.f64 eps)))))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (fma.f64 (expm1.f64 (sin.f64 eps)) (+.f64 (expm1.f64 (sin.f64 eps)) -1) 1))
(/.f64 (+.f64 1 (pow.f64 (expm1.f64 (sin.f64 eps)) 3)) (fma.f64 (expm1.f64 (sin.f64 eps)) (+.f64 -1 (expm1.f64 (sin.f64 eps))) 1))
(pow.f64 (exp.f64 (sin.f64 eps)) 1)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (sqrt.f64 (exp.f64 (sin.f64 eps))) 2)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 3)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (E.f64) (sin.f64 eps))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3) 1/3)
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(pow.f64 (exp.f64 (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(sqrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 2))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(log.f64 (exp.f64 (exp.f64 (sin.f64 eps))))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(cbrt.f64 (pow.f64 (exp.f64 (sin.f64 eps)) 3))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(expm1.f64 (log1p.f64 (exp.f64 (sin.f64 eps))))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))
(log1p.f64 (expm1.f64 (exp.f64 (sin.f64 eps))))
(+.f64 1 (expm1.f64 (sin.f64 eps)))
(exp.f64 (sin.f64 eps))

localize9.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(sqrt.f64 (cos.f64 x))
✓0.1b
(*.f64 eps (sqrt.f64 (cos.f64 x)))
✓0.1b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
Compiler

Compiled 23 to 6 computations (73.9% saved)

series3.0ms (0%)

Counts
3 → 48
Calls

15 calls:

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

rewrite94.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

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

simplify58.0ms (0.5%)

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

Useful iterations: 3 (0.0ms)

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

localize25.0ms (0.2%)

Local error

Found 4 expressions with local error:

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

Compiled 31 to 11 computations (64.5% saved)

series11.0ms (0.1%)

Counts
4 → 72
Calls

18 calls:

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

rewrite73.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
1906×add-sqr-sqrt
1886×*-un-lft-identity
1748×add-cube-cbrt
1718×add-cbrt-cube
206×pow1
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01150
121850
2249750
Stop Event
1×node limit
Counts
4 → 67
Calls
Call 1
Inputs
(cbrt.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (cbrt.f64 (cos.f64 x)) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/6) (pow.f64 (cos.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cos.f64 x) 1/6) (*.f64 (pow.f64 (cos.f64 x) 1/6) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x 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 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 x))) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))))))

simplify89.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
676×+-commutative
630×fma-def
558×*-commutative
532×associate-*r/
484×sqr-pow
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01932071
14082045
213982013
340501993
470301993
Stop Event
1×node limit
Counts
139 → 131
Calls
Call 1
Inputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 (*.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))
(+.f64 (*.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -23/6480 (pow.f64 x 6)))))
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cos.f64 x) 1/3)
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/405 (pow.f64 x 6))))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/405 (pow.f64 x 6)) (*.f64 -1/1701 (pow.f64 x 8)))))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (*.f64 -1/6 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 -1/72 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -23/6480 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/72 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 2))))))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 x)))) 1)
(*.f64 (cbrt.f64 (cos.f64 x)) 1)
(*.f64 1 (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cos.f64 x) 1/6) (pow.f64 (cos.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3))
(pow.f64 (cos.f64 x) 1/3)
(pow.f64 (cbrt.f64 (cos.f64 x)) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (cos.f64 x) 1/6) 2)
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(fabs.f64 (cbrt.f64 (cos.f64 x)))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 x)))))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 x))))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 1))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1)
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(*.f64 (pow.f64 (cos.f64 x) 1/6) (*.f64 (pow.f64 (cos.f64 x) 1/6) (cbrt.f64 (cos.f64 x))))
(*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 1/6))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))) 1))
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(-.f64 (exp.f64 (log1p.f64 (*.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 (cos.f64 x)) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))) 1)
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 1)
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 2)
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 3)
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 x))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))))
(cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 1))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
Outputs
1
(+.f64 1 (*.f64 -1/6 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/6 (*.f64 x x)))
(fma.f64 -1/6 (*.f64 x x) 1)
(+.f64 (*.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (*.f64 -1/6 (pow.f64 x 2))))
(fma.f64 -1/72 (pow.f64 x 4) (+.f64 1 (*.f64 -1/6 (*.f64 x x))))
(fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) 1))
(fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) 1))
(+.f64 (*.f64 -1/72 (pow.f64 x 4)) (+.f64 1 (+.f64 (*.f64 -1/6 (pow.f64 x 2)) (*.f64 -23/6480 (pow.f64 x 6)))))
(fma.f64 -1/72 (pow.f64 x 4) (+.f64 1 (fma.f64 -1/6 (*.f64 x x) (*.f64 -23/6480 (pow.f64 x 6)))))
(+.f64 (fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) 1)) (*.f64 -23/6480 (pow.f64 x 6)))
(fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (fma.f64 -23/6480 (pow.f64 x 6) 1)))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
1
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) 1)
(fma.f64 -1/3 (*.f64 x x) 1)
(fma.f64 (*.f64 x x) -1/3 1)
(fma.f64 x (*.f64 x -1/3) 1)
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (*.f64 -1/405 (pow.f64 x 6))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (*.f64 (pow.f64 x 6) -1/405))
(fma.f64 (*.f64 x x) -1/3 (fma.f64 (pow.f64 x 6) -1/405 1))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 1))
(+.f64 (*.f64 -1/3 (pow.f64 x 2)) (+.f64 1 (+.f64 (*.f64 -1/405 (pow.f64 x 6)) (*.f64 -1/1701 (pow.f64 x 8)))))
(+.f64 (fma.f64 -1/3 (*.f64 x x) 1) (fma.f64 -1/405 (pow.f64 x 6) (*.f64 -1/1701 (pow.f64 x 8))))
(+.f64 (fma.f64 (*.f64 x x) -1/3 1) (fma.f64 -1/1701 (pow.f64 x 8) (*.f64 (pow.f64 x 6) -1/405)))
(fma.f64 x (*.f64 x -1/3) (fma.f64 (pow.f64 x 6) -1/405 (fma.f64 -1/1701 (pow.f64 x 8) 1)))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(pow.f64 (pow.f64 (cos.f64 x) 2) 1/3)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 (*.f64 x x) eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x eps)) eps)
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) eps)
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/2 (*.f64 (*.f64 x x) eps))))
(+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 x x) (*.f64 eps -1/2))))
(fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 (*.f64 x x) (*.f64 eps -1/2) 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 (pow.f64 x 6) eps) (+.f64 eps (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/2 (*.f64 (*.f64 x x) eps)))))
(+.f64 (fma.f64 1/24 (*.f64 (pow.f64 x 4) eps) (*.f64 (*.f64 x x) (*.f64 eps -1/2))) (fma.f64 -1/720 (*.f64 (pow.f64 x 6) eps) eps))
(fma.f64 (pow.f64 x 6) (*.f64 eps -1/720) (fma.f64 (pow.f64 x 4) (*.f64 eps 1/24) (fma.f64 (*.f64 x x) (*.f64 eps -1/2) eps)))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
eps
(+.f64 eps (*.f64 -1/6 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/6 (*.f64 (*.f64 x x) eps)))
(fma.f64 -1/6 (*.f64 x (*.f64 x eps)) eps)
(*.f64 (fma.f64 -1/6 (*.f64 x x) 1) eps)
(+.f64 eps (+.f64 (*.f64 -1/72 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 -1/72 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/6 (*.f64 (*.f64 x x) eps))))
(+.f64 eps (fma.f64 -1/72 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/6 (*.f64 x (*.f64 x eps)))))
(+.f64 eps (*.f64 eps (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/72 (pow.f64 x 4)))))
(*.f64 eps (fma.f64 -1/6 (*.f64 x x) (fma.f64 -1/72 (pow.f64 x 4) 1)))
(+.f64 (*.f64 -23/6480 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 -1/72 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -23/6480 (*.f64 (pow.f64 x 6) eps) (+.f64 eps (fma.f64 -1/72 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/6 (*.f64 (*.f64 x x) eps)))))
(+.f64 (fma.f64 -1/72 (*.f64 (pow.f64 x 4) eps) (*.f64 -1/6 (*.f64 x (*.f64 x eps)))) (fma.f64 -23/6480 (*.f64 (pow.f64 x 6) eps) eps))
(+.f64 eps (fma.f64 -23/6480 (*.f64 (pow.f64 x 6) eps) (*.f64 eps (fma.f64 -1/6 (*.f64 x x) (*.f64 -1/72 (pow.f64 x 4))))))
(+.f64 eps (*.f64 eps (fma.f64 -1/72 (pow.f64 x 4) (fma.f64 -1/6 (*.f64 x x) (*.f64 -23/6480 (pow.f64 x 6))))))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 eps (pow.f64 (*.f64 (cos.f64 x) 1) 1/3))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (*.f64 (cos.f64 x) 1) 1/3) eps)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (cbrt.f64 (cos.f64 x)))) 1)
(cbrt.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (cos.f64 x)) 1)
(cbrt.f64 (cos.f64 x))
(*.f64 1 (cbrt.f64 (cos.f64 x)))
(cbrt.f64 (cos.f64 x))
(*.f64 (pow.f64 (cos.f64 x) 1/6) (pow.f64 (cos.f64 x) 1/6))
(cbrt.f64 (cos.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(cbrt.f64 (cos.f64 x))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(cbrt.f64 (cos.f64 x))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)))
(*.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))) (fabs.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x)))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))))
(*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 4)))
(*.f64 (pow.f64 1 1/3) (cbrt.f64 (cos.f64 x)))
(cbrt.f64 (cos.f64 x))
(*.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3) (pow.f64 (sqrt.f64 (cos.f64 x)) 1/3))
(*.f64 (cbrt.f64 (sqrt.f64 (cos.f64 x))) (cbrt.f64 (sqrt.f64 (cos.f64 x))))
(pow.f64 (pow.f64 (sqrt.f64 (cos.f64 x)) 1/6) 4)
(pow.f64 (cos.f64 x) 1/3)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (cos.f64 x)) 1)
(cbrt.f64 (cos.f64 x))
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1/2)
(cbrt.f64 (cos.f64 x))
(pow.f64 (pow.f64 (cos.f64 x) 1/6) 2)
(cbrt.f64 (cos.f64 x))
(pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 3)
(cbrt.f64 (cos.f64 x))
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(cbrt.f64 (cos.f64 x))
(fabs.f64 (cbrt.f64 (cos.f64 x)))
(cbrt.f64 (cos.f64 x))
(log.f64 (exp.f64 (cbrt.f64 (cos.f64 x))))
(cbrt.f64 (cos.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 (cos.f64 x)))))
(cbrt.f64 (cos.f64 x))
(expm1.f64 (log1p.f64 (cbrt.f64 (cos.f64 x))))
(cbrt.f64 (cos.f64 x))
(exp.f64 (log.f64 (cbrt.f64 (cos.f64 x))))
(cbrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1/3))
(cbrt.f64 (cos.f64 x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (cos.f64 x))) 1))
(cbrt.f64 (cos.f64 x))
(log1p.f64 (expm1.f64 (cbrt.f64 (cos.f64 x))))
(cbrt.f64 (cos.f64 x))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 1)
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 1/6) (*.f64 (pow.f64 (cos.f64 x) 1/6) (cbrt.f64 (cos.f64 x))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (sqrt.f64 (cos.f64 x)) (pow.f64 (cos.f64 x) 1/6))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) (cbrt.f64 (cos.f64 x))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (cbrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(*.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cbrt.f64 (cos.f64 x))) 2)) (cbrt.f64 (cbrt.f64 (cos.f64 x))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(sqrt.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 4))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(log.f64 (exp.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(cbrt.f64 (pow.f64 (cos.f64 x) 2))
(expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(exp.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 (cos.f64 x)))) 1))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)))
(pow.f64 (cbrt.f64 (cos.f64 x)) 2)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) eps))) 1)
(*.f64 (cos.f64 x) eps)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 (cos.f64 x) eps)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 (cos.f64 x) eps)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 (cos.f64 x) eps)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 (cos.f64 x) eps)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 (cos.f64 x) eps)
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(*.f64 (cos.f64 x) eps)
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) eps))))
(*.f64 (cos.f64 x) eps)
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 (cos.f64 x) eps)
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (cos.f64 x) eps)
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (cos.f64 x) eps)
(exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) eps)) 1))
(*.f64 (cos.f64 x) eps)
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 (cos.f64 x) eps)
(-.f64 (exp.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))) 1)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 1)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 2)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 3)
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) 1/3)
(cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)))
(sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps) 2))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (cbrt.f64 (cos.f64 x))) eps))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps))))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(cbrt.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)) 1))
(*.f64 eps (cbrt.f64 (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 (cos.f64 x)) eps)))
(*.f64 eps (cbrt.f64 (cos.f64 x)))

eval345.0ms (2.7%)

Compiler

Compiled 16568 to 7001 computations (57.7% saved)

prune400.0ms (3.1%)

Pruning

66 alts after pruning (54 fresh and 12 done)

PrunedKeptTotal
New78913802
Fresh44145
Picked011
Done01111
Total79366859
Error
0.0b
Counts
859 → 66
Alt Table
Click to see full alt table
StatusErrorProgram
0.5b
(fma.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (*.f64 (cos.f64 x) (sin.f64 eps)))
✓0.3b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
27.0b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
23.8b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
✓0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
✓0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
31.1b
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
31.3b
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
49.0b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
48.5b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
38.7b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
31.5b
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
28.5b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
38.3b
(/.f64 1 (/.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
23.8b
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
39.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
23.8b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
40.1b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
60.7b
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
44.8b
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
0.3b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
✓38.3b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
30.8b
(-.f64 (log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x))
48.1b
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
38.3b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
29.2b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
✓0.3b
(+.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)))
16.1b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
27.4b
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
38.7b
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
39.0b
(+.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)))))
38.3b
(+.f64 (sin.f64 x) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) 2)))
27.0b
(+.f64 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
✓46.0b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
30.9b
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 1/3) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
✓31.0b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
43.9b
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 1 eps))
31.5b
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
46.7b
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
✓38.2b
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
38.2b
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 3/2))) (sqrt.f64 (cos.f64 x)))
14.6b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
✓30.8b
(*.f64 (cos.f64 x) eps)
47.3b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
✓27.8b
(sin.f64 eps)
✓44.8b
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
61.2b
(log1p.f64 (-.f64 1 1))
43.5b
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
30.6b
(log1p.f64 (*.f64 (cos.f64 x) eps))
38.5b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
27.8b
(log1p.f64 (expm1.f64 (sin.f64 eps)))
43.9b
(log1p.f64 eps)
30.4b
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
44.8b
(log.f64 (exp.f64 (sin.f64 eps)))
48.6b
(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))
37.5b
(fabs.f64 (*.f64 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))) (*.f64 2 (sin.f64 (*.f64 (+.f64 eps 0) 1/2)))))
47.1b
(fabs.f64 (*.f64 (cos.f64 x) eps))
✓51.9b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
39.2b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
44.1b
eps
Compiler

Compiled 827 to 579 computations (30% saved)

regimes174.0ms (1.4%)

Counts
94 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.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 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (sin.f64 (*.f64 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)
(log.f64 (exp.f64 (sin.f64 eps)))
(log1p.f64 (expm1.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)
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 1 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(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))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(-.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 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 3/2))) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 1/3) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (log.f64 (exp.f64 (*.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)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))) 2)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))
(fma.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (log.f64 (exp.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 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.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 (+.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 (fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))) (sin.f64 x)) (fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(-.f64 (/.f64 (-.f64 (*.f64 (cos.f64 eps) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sin.f64 x))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (*.f64 (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

3 calls:

56.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
48.0ms
x
42.0ms
eps
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1202 to 460 computations (61.7% saved)

regimes101.0ms (0.8%)

Counts
67 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.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 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (sin.f64 (*.f64 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)
(log.f64 (exp.f64 (sin.f64 eps)))
(log1p.f64 (expm1.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)
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 1 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(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))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(-.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 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (-.f64 (exp.f64 (log1p.f64 (sin.f64 x))) 1))
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (/.f64 1 (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(*.f64 (*.f64 eps (cbrt.f64 (pow.f64 (cos.f64 x) 3/2))) (sqrt.f64 (cos.f64 x)))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
(*.f64 (pow.f64 (pow.f64 (cos.f64 x) 2) 1/3) (*.f64 (cbrt.f64 (cos.f64 x)) eps))
Outputs
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

3 calls:

34.0ms
x
30.0ms
eps
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 703 to 299 computations (57.5% saved)

regimes90.0ms (0.7%)

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

3 calls:

29.0ms
eps
28.0ms
x
17.0ms
(-.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 608 to 258 computations (57.6% saved)

regimes125.0ms (1%)

Counts
57 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.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 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(+.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 (-.f64 eps x) (+.f64 eps (+.f64 x x)))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 (+.f64 eps (-.f64 x x)) x) (+.f64 eps x)))))
(+.f64 (sin.f64 (*.f64 1/2 (-.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps (-.f64 x x)) (+.f64 eps (+.f64 x x))))))
(/.f64 (+.f64 (sin.f64 (*.f64 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)
(log.f64 (exp.f64 (sin.f64 eps)))
(log1p.f64 (expm1.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)
(fabs.f64 (-.f64 (sin.f64 eps) (sin.f64 x)))
(log1p.f64 (-.f64 (exp.f64 (sin.f64 eps)) 1))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(*.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))
(-.f64 (fabs.f64 (sin.f64 (+.f64 eps x))) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 1 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(+.f64 (sin.f64 x) (-.f64 (sin.f64 (+.f64 x eps)) (*.f64 (sin.f64 x) 2)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 eps) eps)))
(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))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 eps) (sin.f64 x))))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (expm1.f64 (log1p.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(*.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(-.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 (sin.f64 eps) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
Outputs
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
Calls

3 calls:

49.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
34.0ms
eps
28.0ms
x
Results
ErrorSegmentsBranch
14.6b1x
14.6b1eps
14.6b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 575 to 249 computations (56.7% saved)

regimes71.0ms (0.6%)

Counts
16 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.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 (+.f64 x eps)) (sin.f64 x))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Calls

3 calls:

26.0ms
x
26.0ms
eps
15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
15.6b3x
14.0b3eps
14.5b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 108 to 55 computations (49.1% saved)

bsearch93.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
53.0ms
1.1385408196644954e-21
997.5714670810454
39.0ms
-2.2749602438173307e-5
-8.137784172757897e-8
Results
35.0ms75×body1024valid
32.0ms184×body256valid
12.0ms13×body2048valid
9.0ms32×body512valid
Compiler

Compiled 340 to 249 computations (26.8% saved)

regimes48.0ms (0.4%)

Counts
13 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(log1p.f64 (*.f64 (cos.f64 x) eps))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

2 calls:

23.0ms
x
22.0ms
eps
Results
ErrorSegmentsBranch
15.8b3x
14.0b3eps
Compiler

Compiled 72 to 37 computations (48.6% saved)

bsearch94.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
56.0ms
1.1385408196644954e-21
997.5714670810454
38.0ms
-2.2749602438173307e-5
-8.137784172757897e-8
Results
43.0ms79×body1024valid
29.0ms187×body256valid
10.0ms13×body2048valid
8.0ms25×body512valid
Compiler

Compiled 318 to 238 computations (25.2% saved)

regimes52.0ms (0.4%)

Counts
11 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
(log1p.f64 (*.f64 (cos.f64 x) eps))
Outputs
(sin.f64 eps)
(log1p.f64 (*.f64 (cos.f64 x) eps))
(sin.f64 eps)
Calls

2 calls:

28.0ms
x
22.0ms
eps
Results
ErrorSegmentsBranch
15.8b3x
14.7b3eps
Compiler

Compiled 62 to 34 computations (45.2% saved)

bsearch94.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
52.0ms
1.1385408196644954e-21
997.5714670810454
42.0ms
-2.2749602438173307e-5
-8.137784172757897e-8
Results
40.0ms84×body1024valid
27.0ms171×body256valid
12.0ms36×body512valid
11.0ms13×body2048valid
Compiler

Compiled 261 to 200 computations (23.4% saved)

regimes38.0ms (0.3%)

Counts
10 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
(*.f64 (cos.f64 x) eps)
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(log1p.f64 (+.f64 eps (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(fabs.f64 (*.f64 (cos.f64 x) eps))
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

19.0ms
eps
18.0ms
x
Results
ErrorSegmentsBranch
16.0b3x
14.7b3eps
Compiler

Compiled 57 to 33 computations (42.1% saved)

bsearch85.0ms (0.7%)

Algorithm
2×binary-search
Steps
TimeLeftRight
51.0ms
1.1385408196644954e-21
997.5714670810454
34.0ms
-2.2749602438173307e-5
-8.137784172757897e-8
Results
30.0ms181×body256valid
29.0ms68×body1024valid
14.0ms44×body512valid
8.0ms11×body2048valid
Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes12.0ms (0.1%)

Counts
5 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
(sin.f64 eps)
(log1p.f64 (-.f64 1 1))
Outputs
(sin.f64 eps)
Calls

2 calls:

6.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
27.8b1x
27.8b1eps
Compiler

Compiled 26 to 17 computations (34.6% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(log1p.f64 eps)
Outputs
(log1p.f64 eps)
Calls

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
43.9b1x
43.9b1eps
Compiler

Compiled 20 to 12 computations (40% saved)

regimes8.0ms (0.1%)

Accuracy

Total -2.2b remaining (-4.9%)

Threshold costs -2.2b (-4.9%)

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

2 calls:

4.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
44.1b1x
44.1b1eps
Compiler

Compiled 18 to 11 computations (38.9% saved)

simplify14.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
066387
197387
2106387
3110387
4112387
Stop Event
1×fuel
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (sin.f64 x)))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (*.f64 2 (cos.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2115620184325601/37778931862957161709568) (log1p.f64 (*.f64 (cos.f64 x) eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -1156979788303063/4722366482869645213696) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8264141345021879/2361183241434822606848) (log1p.f64 (*.f64 (cos.f64 x) eps)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3423715700080493/1180591620717411303424) (sin.f64 eps) (if (<=.f64 eps 6195744825524975/302231454903657293676544) (log1p.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 eps)))
(if (<=.f64 eps -7791904696734915/4722366482869645213696) (sin.f64 eps) (if (<=.f64 eps 4842270319348757/4611686018427387904) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.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 -8878048987794933/37778931862957161709568) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2115620184325601/37778931862957161709568) (log1p.f64 (*.f64 (cos.f64 x) eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(if (<=.f64 eps -8878048987794933/37778931862957161709568) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 2115620184325601/37778931862957161709568) (log1p.f64 (*.f64 eps (cos.f64 x))) (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))
(if (<=.f64 eps -1156979788303063/4722366482869645213696) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8264141345021879/2361183241434822606848) (log1p.f64 (*.f64 (cos.f64 x) eps)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (or (<=.f64 eps -1156979788303063/4722366482869645213696) (not (<=.f64 eps 8264141345021879/2361183241434822606848))) (-.f64 (sin.f64 eps) (sin.f64 x)) (log1p.f64 (*.f64 eps (cos.f64 x))))
(if (<=.f64 eps -3423715700080493/1180591620717411303424) (sin.f64 eps) (if (<=.f64 eps 6195744825524975/302231454903657293676544) (log1p.f64 (*.f64 (cos.f64 x) eps)) (sin.f64 eps)))
(if (<=.f64 eps -3423715700080493/1180591620717411303424) (sin.f64 eps) (if (<=.f64 eps 6195744825524975/302231454903657293676544) (log1p.f64 (*.f64 eps (cos.f64 x))) (sin.f64 eps)))
(if (<=.f64 eps -7791904696734915/4722366482869645213696) (sin.f64 eps) (if (<=.f64 eps 4842270319348757/4611686018427387904) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -7791904696734915/4722366482869645213696) (sin.f64 eps) (if (<=.f64 eps 4842270319348757/4611686018427387904) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
(log1p.f64 eps)
eps
Compiler

Compiled 159 to 107 computations (32.7% saved)

soundness88.0ms (0.7%)

Algorithm
1×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
1×node limit
Compiler

Compiled 117 to 28 computations (76.1% saved)

end70.0ms (0.5%)

Compiler

Compiled 139 to 62 computations (55.4% saved)

Profiling

Loading profile data...