Details

Time bar (total: 7.9s)

analyze1.0ms (0%)

Algorithm
1×search
Search
TrueOtherFalseIter
0%99.9%0.1%0
99.9%0%0.1%1
Compiler

Compiled 10 to 7 computations (30% saved)

sample5.0s (63.7%)

Results
2.3s3986×body1024valid
2.1s2102×body2048valid
454.0ms1347×body512valid
135.0ms563×body256valid
34.0ms256×body128valid
5.0ms2×body4096valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess21.0ms (0.3%)

Algorithm
2×egg-herbie
Rules
76×fma-def_binary64
57×fma-neg_binary64
27×cancel-sign-sub-inv_binary64
24×sub-neg_binary64
18×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11722
22522
33822
45322
58122
614122
720022
828222
935322
1040522
1140922
022
Stop Event
1×saturated
1×saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
39×fma-def_binary64
32×fma-neg_binary64
15×cancel-sign-sub-inv_binary64
12×sub-neg_binary64
10×distribute-rgt-in_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
43111
54811
68611
712411
817211
920811
1023411
1123611
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.6b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶38.6b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(cos.f64 x)
✓0.9b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓3.4b
(cos.f64 (+.f64 x eps))

series7.0ms (0.1%)

Counts
3 → 52
Calls

15 calls:

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

rewrite63.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
457×fma-def_binary64
445×log-prod_binary64
238×fma-neg_binary64
180×expm1-udef_binary64
180×log1p-udef_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0720
117420
2275420
Stop Event
1×node limit
Counts
3 → 185
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 x)
Outputs
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(cos.f64 (+.f64 x eps)))) (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 x 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (exp.f64 (log1p.f64 x))) (cos.f64 1)) (*.f64 (sin.f64 (exp.f64 (log1p.f64 x))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (cos.f64 x))) (cbrt.f64 (exp.f64 (cos.f64 x))))) (log.f64 (cbrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 x)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 x) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 x) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 x)) 1))))))

simplify34.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
320×associate-+l-_binary64
306×sub-neg_binary64
268×fma-def_binary64
247×associate--l+_binary64
224×associate-+l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
072674
1222666
2668650
32430632
Stop Event
1×node limit
Counts
237 → 224
Calls
Call 1
Inputs
(cos.f64 eps)
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
Outputs
(cos.f64 eps)
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(fma.f64 (sin.f64 eps) (neg.f64 x) (cos.f64 eps))
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 (*.f64 1/2 (cos.f64 eps)) (*.f64 x x))))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x)))))
(-.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 x 1/2)) (sin.f64 eps))))
(-.f64 (*.f64 (fma.f64 (*.f64 x x) -1/2 1) (cos.f64 eps)) (*.f64 (sin.f64 eps) x))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 (*.f64 1/6 (sin.f64 eps)) (pow.f64 x 3))) (fma.f64 (sin.f64 eps) x (*.f64 (*.f64 1/2 (cos.f64 eps)) (*.f64 x x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)) (fma.f64 (sin.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x)))))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)) (cos.f64 eps)) (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 x 1/2)) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (*.f64 (fma.f64 (*.f64 x x) -1/2 1) (cos.f64 eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 x)
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (cos.f64 x))
(-.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))))
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) 1/2))))
(+.f64 (cos.f64 x) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))))
(+.f64 (cos.f64 x) (+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(cos.f64 (+.f64 eps x))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 (*.f64 1/2 (cos.f64 eps)) (*.f64 x x))))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) 1)))
(-.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (fma.f64 (*.f64 (cos.f64 eps) (*.f64 x 1/2)) x (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 x 1/2) (-.f64 x (*.f64 (cos.f64 eps) x))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 (*.f64 1/2 (cos.f64 eps)) (*.f64 x x)))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) 1))))
(+.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (-.f64 (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) 1)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 x x) (-.f64 (+.f64 (*.f64 (sin.f64 eps) (*.f64 1/6 x)) 1/2) (*.f64 (cos.f64 eps) 1/2))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(neg.f64 (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2) (*.f64 eps (sin.f64 x)))
(fma.f64 eps (neg.f64 (sin.f64 x)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
(*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x)))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)))) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps eps))))) (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/24 (*.f64 eps eps)) 1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 x))
1
(-.f64 1 (*.f64 1/2 (pow.f64 x 2)))
(+.f64 1 (*.f64 -1/2 (*.f64 x x)))
(+.f64 1 (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 1)
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (*.f64 -1/2 (*.f64 x x)))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (*.f64 (*.f64 x x) -1/2))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 1/24 (pow.f64 x 4) 1))
(-.f64 (+.f64 (*.f64 1/24 (pow.f64 x 4)) 1) (+.f64 (*.f64 1/720 (pow.f64 x 6)) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/720 (pow.f64 x 6) (*.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 1/2 (*.f64 x x) (*.f64 1/720 (pow.f64 x 6))))
(+.f64 1 (fma.f64 1/24 (pow.f64 x 4) (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 6) -1/720))))
(+.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 (*.f64 x x) -1/2 (*.f64 (pow.f64 x 6) -1/720)))

prune187.0ms (2.4%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New21014224
Fresh000
Picked101
Done000
Total21114225
Error
0.1b
Counts
225 → 14
Alt Table
StatusErrorProgram
33.5b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶12.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
30.7b
(+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/24 (*.f64 eps eps)) 1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
41.0b
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
26.5b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
39.1b
(+.f64 (log.f64 (*.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))) (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))
30.5b
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x))))
27.0b
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
38.7b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))) (exp.f64 (cos.f64 x))))
26.0b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
38.8b
(-.f64 (cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3)) (cos.f64 x))
26.2b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
38.7b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))
Compiler

Compiled 4537 to 1476 computations (67.5% saved)

localize12.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 x eps))
✓0.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓3.4b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

series15.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite31.0ms (0.4%)

Algorithm
1×batch-egg-rewrite
Rules
178×add-sqr-sqrt_binary64
173×pow1_binary64
172×*-un-lft-identity_binary64
167×add-exp-log_binary64
167×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01568
135228
Stop Event
1×node limit
Counts
4 → 111
Calls
Call 1
Inputs
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(+.f64 x (+.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) (cbrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) (sqrt.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))) (sqrt.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) (sqrt.f64 2))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 1/2 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (*.f64 1/2 eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 (*.f64 1/2 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) 2) (/.f64 (cos.f64 (*.f64 1/2 (+.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 1/2 eps))) 2) 3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps)))) -2) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -2 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 eps eps))) (cos.f64 (*.f64 1/2 (+.f64 eps eps))))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sqrt.f64 -2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 4 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -2) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 eps (/.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (*.f64 x x) (-.f64 0 eps)) (/.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (/.f64 1 (fma.f64 x x (*.f64 (+.f64 x eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 3) (/.f64 1 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (-.f64 0 eps)) (/.f64 1 (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)) (-.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 x x (*.f64 (+.f64 x eps) eps)) (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 0 eps) (*.f64 eps (-.f64 0 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 eps eps) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 eps (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps eps) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (fma.f64 x x (*.f64 (+.f64 x eps) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (-.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 eps 3) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 eps (-.f64 0 eps)) (-.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 x 3) (pow.f64 (+.f64 x eps) 3))) (neg.f64 (fma.f64 x x (*.f64 (+.f64 x eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (*.f64 eps (-.f64 0 eps))) (neg.f64 (-.f64 0 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 eps 3)) (neg.f64 (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 eps 3) 0) (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 3) (pow.f64 x 3)) (+.f64 (pow.f64 (+.f64 x eps) 2) (+.f64 (*.f64 x x) (*.f64 x (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (+.f64 x eps) 2) (*.f64 x x)) eps)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (*.f64 eps eps)) (-.f64 0 eps))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 eps) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 eps 3))))) (#(struct:change #<rule egg-rr> (2) ((x . eps)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 x (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 eps 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 eps) 2) (cbrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (+.f64 x eps)) 2) (cbrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 x) (sqrt.f64 x) (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 eps) (sqrt.f64 eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) x)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 x eps)) (sqrt.f64 (+.f64 x eps)) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))))

simplify56.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
603×distribute-rgt-neg-in_binary64
432×associate-*r*_binary64
416×associate-*l*_binary64
414×fma-def_binary64
396×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0911742
13001559
210321362
342031362
Stop Event
1×node limit
Counts
207 → 165
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(neg.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(+.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 -1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/2)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/2) 1) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(-.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/2)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 x (*.f64 1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (*.f64 x x) -1/2)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))
(sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))
(sin.f64 (fma.f64 1/2 eps x))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 1/8 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (+.f64 (sin.f64 x) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps eps)) -1/8)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 eps (*.f64 eps -1/8)) 1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 1/8 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
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(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)
(neg.f64 (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(neg.f64 (*.f64 2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) -2)
(-.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(-.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (-.f64 (*.f64 x x) 2)) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) -2))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 x x -2) (*.f64 x (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) -2)))
(fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 x x -2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x -2))))
(-.f64 (+.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (*.f64 1/3 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))) (+.f64 (*.f64 2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(-.f64 (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x) (*.f64 (*.f64 1/3 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)))) (*.f64 2 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))))
(fma.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) 1/3 (*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))))
(fma.f64 x (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (-.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x 2))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))
(fma.f64 x (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (+.f64 (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (cos.f64 (*.f64 1/2 eps))) (+.f64 (*.f64 (pow.f64 x 3) 1/3) (*.f64 x -2))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) -2)))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps))))
(*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))) -2)
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
(*.f64 (sin.f64 (fma.f64 1/2 eps x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) -2))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(*.f64 2 x)
(*.f64 x 2)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 x 2))
(fma.f64 x 2 eps)

prune164.0ms (2.1%)

Pruning

15 alts after pruning (15 fresh and 0 done)

PrunedKeptTotal
New1587165
Fresh5813
Picked101
Done000
Total16415179
Error
0.1b
Counts
179 → 15
Alt Table
StatusErrorProgram
▶26.0b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
32.7b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
32.1b
(*.f64 -2 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
47.8b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
41.0b
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
26.5b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
30.5b
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x))))
27.0b
(fma.f64 (*.f64 (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps)))) (cbrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
36.2b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
33.5b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
36.0b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
26.2b
(-.f64 (/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (cos.f64 x))
26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
38.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))
Compiler

Compiled 3953 to 2553 computations (35.4% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
✓0.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
✓0.1b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓2.5b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

series12.0ms (0.2%)

Counts
3 → 56
Calls

18 calls:

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

rewrite59.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
424×fma-def_binary64
228×fma-neg_binary64
213×expm1-udef_binary64
213×log1p-udef_binary64
131×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01149
124125
2339825
Stop Event
1×node limit
Counts
3 → 151
Calls
Call 1
Inputs
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
(*.f64 (sin.f64 x) (sin.f64 eps))
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (-.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (cos.f64 x)) (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1)))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (cos.f64 (-.f64 x eps)) 2) (/.f64 (cos.f64 (-.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 2 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))) -2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 0 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 -1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (-.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cos.f64 (-.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 (neg.f64 eps))) (*.f64 (sin.f64 x) (sin.f64 (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 -1 eps))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 -1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 (neg.f64 (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))) (*.f64 (sin.f64 x) (sin.f64 (*.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (fma.f64 (neg.f64 eps) 1 eps))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (fma.f64 (neg.f64 eps) 1 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (fma.f64 (neg.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 eps) 2) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 (-.f64 x eps)) (cos.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))) (*.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (fma.f64 (neg.f64 (sqrt.f64 eps)) (sqrt.f64 eps) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (-.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2) (cbrt.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) (sqrt.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (-.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (+.f64 x eps))))) (#(struct:change #<rule egg-rr> (2) ((x cos.f64 (-.f64 eps x))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (-.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cos.f64 (-.f64 x eps))) 1))))))

simplify45.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
389×fma-def_binary64
375×sub-neg_binary64
320×cancel-sign-sub-inv_binary64
313×distribute-rgt-neg-in_binary64
304×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0891178
12921150
29121107
333841090
Stop Event
1×node limit
Counts
207 → 198
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(*.f64 (sin.f64 eps) x)
(-.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)))) (+.f64 (*.f64 1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7))) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))))
(*.f64 eps (sin.f64 x))
(-.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (*.f64 eps (sin.f64 x))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/5040 (*.f64 (pow.f64 eps 7) (sin.f64 x)))))
(cos.f64 eps)
(-.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) x))
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(cos.f64 x)
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(-.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1)))
(-.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 x 1/2) (-.f64 x (*.f64 (cos.f64 eps) x))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x))))))
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(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(cos.f64 x)
(-.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 (sin.f64 x) (neg.f64 eps) (cos.f64 x))
(-.f64 (cos.f64 x) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (cos.f64 x) (fma.f64 1/2 (*.f64 eps (*.f64 eps (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (cos.f64 x) (*.f64 eps (-.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps (cos.f64 x))))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (cos.f64 x)) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (cos.f64 x)) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 (*.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x)))

prune202.0ms (2.6%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New2533256
Fresh31114
Picked011
Done000
Total25615271
Error
0.1b
Counts
271 → 15
Alt Table
StatusErrorProgram
✓26.0b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps eps) (*.f64 (cos.f64 x) -1/2)))
32.7b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
26.3b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (log.f64 (exp.f64 (cos.f64 x))))
32.1b
(*.f64 -2 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
47.8b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
41.0b
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (expm1.f64 (log1p.f64 (cos.f64 x))))
30.5b
(fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 eps (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) -1/2) (sin.f64 x))))
36.2b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
33.5b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
36.0b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 eps))))) (cos.f64 x))
▶26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
38.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))
Compiler

Compiled 5233 to 1833 computations (65% saved)

localize11.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(cos.f64 x)
✓0.0b
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
0.1b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓2.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))

series4.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite57.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
309×fma-def_binary64
209×expm1-udef_binary64
209×log1p-udef_binary64
207×fma-neg_binary64
139×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01240
125930
2371030
Stop Event
1×node limit
Counts
2 → 137
Calls
Call 1
Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
(-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps)) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (+.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 0 (*.f64 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fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (+.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (+.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (+.f64 (cos.f64 x) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (cos.f64 x))) (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 -1 (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1))))))

simplify36.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
901×fma-neg_binary64
279×associate-+l-_binary64
259×sub-neg_binary64
240×distribute-rgt-neg-in_binary64
240×fma-def_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
064844
1207826
2639808
32400791
Stop Event
1×node limit
Counts
185 → 169
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
1
(+.f64 (*.f64 (sin.f64 eps) x) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1)))
(-.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1))))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)) (fma.f64 x (*.f64 x 1/2) (cos.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))) -1) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(neg.f64 (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
1
(+.f64 (*.f64 (sin.f64 eps) x) 1)
(fma.f64 (sin.f64 eps) x 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (fma.f64 1/2 (*.f64 x x) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (sin.f64 eps) (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)) (cos.f64 x))
(fma.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (fma.f64 (*.f64 1/120 (pow.f64 eps 5)) (sin.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/6)))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))

prune189.0ms (2.4%)

Pruning

14 alts after pruning (12 fresh and 2 done)

PrunedKeptTotal
New2671268
Fresh21113
Picked011
Done011
Total26914283
Error
0.1b
Counts
283 → 14
Alt Table
StatusErrorProgram
32.7b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
✓26.0b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))
26.3b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (log.f64 (exp.f64 (cos.f64 x))))
32.1b
(*.f64 -2 (log1p.f64 (expm1.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
47.8b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 1/2 eps))) 2)))
41.0b
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (expm1.f64 (log1p.f64 (cos.f64 x))))
33.5b
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
36.0b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
36.2b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
26.1b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (sin.f64 eps))))) (cos.f64 x))
✓26.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
38.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (log.f64 (exp.f64 (sin.f64 (*.f64 1/2 eps))))))
Compiler

Compiled 5974 to 1869 computations (68.7% saved)

regimes1.3s (16.8%)

Accuracy

Total 0.3b remaining (59.1%)

Threshold costs 0.3b (59.1%)

Counts
264 → 3
Compiler

Compiled 3622 to 1367 computations (62.3% saved)

bsearch86.0ms (1.1%)

Algorithm
2×binary-search
Calls

2 calls:

47.0ms
eps
37.0ms
eps
Steps
ItersPointRange
0.0024
∈ [
6.02121023960212e-7
, 
211.0874644471943
]
-0.0028
∈ [
-0.006432066409629877
, 
-0.0003585107523554905
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify5.0ms (0.1%)

Algorithm
1×egg-herbie
Rules
11×*-commutative_binary64
8×+-commutative_binary64
7×sub-neg_binary64
4×neg-sub0_binary64
4×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03894
16194
27294
37894
48094
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -6456360425798343/2305843009213693952) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1))) (if (<=.f64 eps 5534023222112865/2305843009213693952) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/24 (*.f64 eps eps)) 1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (-.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))))
Outputs
(if (<=.f64 eps -6456360425798343/2305843009213693952) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1))) (if (<=.f64 eps 5534023222112865/2305843009213693952) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/24 (*.f64 eps eps)) 1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (-.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (cos.f64 x))) (cos.f64 x))))
(if (<=.f64 eps -6456360425798343/2305843009213693952) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (if (<=.f64 eps 5534023222112865/2305843009213693952) (+.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) (+.f64 (*.f64 1/24 (*.f64 eps eps)) -1/2)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (-.f64 (fma.f64 (sin.f64 eps) (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps))) (cos.f64 x))))

end212.0ms (2.7%)

Stop Event
1×fuel
Compiler

Compiled 364 to 239 computations (34.3% saved)

Profiling

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