Details

Time bar (total: 8.5s)

analyze0.0ms (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)

sample5.2s (61.2%)

Results
2.3s4019×body1024valid
2.2s2124×body2048valid
487.0ms1386×body512valid
129.0ms516×body256valid
28.0ms210×body128valid
3.0ms1×body4096valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess20.0ms (0.2%)

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)

simplify9.0ms (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
40.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶40.2b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize5.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.8b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓3.6b
(cos.f64 (+.f64 x eps))

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite58.0ms (0.7%)

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
0717
117417
2275417
Stop Event
1×node limit
Counts
2 → 163
Calls
Call 1
Inputs
(cos.f64 (+.f64 x eps))
(-.f64 (cos.f64 (+.f64 x eps)) (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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simplify32.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
877×fma-neg_binary64
692×cancel-sign-sub-inv_binary64
285×associate-+l-_binary64
264×sub-neg_binary64
230×associate--l+_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
061622
1187614
2557602
31982582
Stop Event
1×node limit
Counts
211 → 193
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))
Outputs
(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 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)))))
(-.f64 (cos.f64 eps) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 1/2)))))
(-.f64 (cos.f64 eps) (*.f64 x (+.f64 (*.f64 (cos.f64 eps) (*.f64 x 1/2)) (sin.f64 eps))))
(-.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 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (fma.f64 (sin.f64 eps) x (*.f64 1/2 (*.f64 (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 x (*.f64 x 1/2)))))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)) (cos.f64 eps)) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 1/2)))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (fma.f64 (sin.f64 eps) (*.f64 1/6 x) (*.f64 (cos.f64 eps) -1/2))) (sin.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)))
(-.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 (cos.f64 x) (*.f64 eps eps)))))
(-.f64 (cos.f64 x) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/2)))))
(-.f64 (cos.f64 x) (*.f64 eps (+.f64 (sin.f64 x) (*.f64 (*.f64 1/2 (cos.f64 x)) eps))))
(-.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 (cos.f64 x) (*.f64 eps eps)))))
(+.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps))) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2))
(+.f64 (cos.f64 x) (fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2)))
(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))
(-.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 (cos.f64 eps) (*.f64 x x)) 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 (*.f64 (sin.f64 eps) 1/6) (pow.f64 x 3) (*.f64 x (*.f64 x 1/2))) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)) 1))))
(-.f64 (+.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (*.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 (sin.f64 x) (neg.f64 eps))
(*.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 (cos.f64 x) (*.f64 eps eps)) -1/2) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -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 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/6)) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2))
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -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 1/6 (*.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 (cos.f64 x) (*.f64 eps eps)))))
(-.f64 (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (sin.f64 x)) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/2))))) (*.f64 eps (sin.f64 x)))
(+.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 (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))

prune169.0ms (2%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New17914193
Fresh000
Picked101
Done000
Total18014194
Error
0.2b
Counts
194 → 14
Alt Table
StatusErrorProgram
40.3b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
40.2b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.8b
(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))))
25.7b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
26.0b
(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))))
25.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
25.4b
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
▶15.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
42.3b
(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))))
25.5b
(-.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))
40.3b
(cbrt.f64 (pow.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) 3))
Compiler

Compiled 4115 to 1306 computations (68.3% saved)

localize12.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
✓0.0b
(+.f64 x (+.f64 x eps))
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
✓3.7b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

series11.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@-inf
(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
(*.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))

rewrite46.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
187×log1p-udef_binary64
158×add-sqr-sqrt_binary64
155×pow1_binary64
154×*-un-lft-identity_binary64
148×add-exp-log_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01342
130916
2472516
Stop Event
1×node limit
Counts
3 → 96
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 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 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 expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))))
((#(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 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 expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))
((#(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 (+.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 eps 3) 0) (*.f64 eps 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 exp.f64 (log.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 eps) 1))))) (#(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 x) 2) (cbrt.f64 x) (+.f64 x eps))))) (#(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 (+.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))))))

simplify40.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
851×fma-neg_binary64
528×distribute-rgt-neg-in_binary64
515×distribute-lft-neg-in_binary64
310×associate-*r*_binary64
274×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0681106
1216977
2714844
32827834
Stop Event
1×node limit
Counts
168 → 132
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)))
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 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.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)))))
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(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
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)

prune150.0ms (1.8%)

Pruning

16 alts after pruning (16 fresh and 0 done)

PrunedKeptTotal
New1284132
Fresh11213
Picked101
Done000
Total13016146
Error
0.1b
Counts
146 → 16
Alt Table
StatusErrorProgram
40.3b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
40.2b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.8b
(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))))
25.7b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
26.0b
(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))))
25.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶24.6b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))))
35.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
38.2b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
31.2b
(*.f64 -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)))))))
25.4b
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
42.3b
(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))))
25.5b
(-.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))
Compiler

Compiled 3559 to 2227 computations (37.4% saved)

localize15.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2)))
✓0.5b
(pow.f64 (cbrt.f64 x) 2)
✓0.6b
(cbrt.f64 x)
✓5.6b
(sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))

series16.0ms (0.2%)

Counts
4 → 48
Calls

18 calls:

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

rewrite45.0ms (0.5%)

Algorithm
1×batch-egg-rewrite
Rules
212×log1p-udef_binary64
176×add-sqr-sqrt_binary64
172×pow1_binary64
170×*-un-lft-identity_binary64
165×add-log-exp_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01644
136124
2489024
Stop Event
1×node limit
Counts
4 → 81
Calls
Call 1
Inputs
(sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))
(cbrt.f64 x)
(pow.f64 (cbrt.f64 x) 2)
(*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2)))
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 (pow.f64 (pow.f64 (cbrt.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 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 expm1.f64 (log1p.f64 (sin.f64 (*.f64 1/2 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (cbrt.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x)))) (sqrt.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 x) 1/3) (pow.f64 (sqrt.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 x 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 x) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 x) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 x)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 x 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 x) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 x) (cbrt.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 x) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 x) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (cbrt.f64 (*.f64 x (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)) (*.f64 (cbrt.f64 (cbrt.f64 x)) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 x (cbrt.f64 x))) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 x 1/6) (*.f64 (pow.f64 x 1/6) (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 x) (pow.f64 x 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 x) (cbrt.f64 (pow.f64 (cbrt.f64 x) 2))) (cbrt.f64 (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 x (cbrt.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cbrt.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 x x))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 x) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (cbrt.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 x) 2)))))))
((#(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 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 expm1.f64 (log1p.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))

simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
709×unswap-sqr_binary64
450×associate-*r*_binary64
412×associate-*l*_binary64
310×fma-def_binary64
279×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821351
12511059
28131016
33647960
Stop Event
1×node limit
Counts
129 → 116
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps 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 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps 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 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.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 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) (*.f64 1/8 (*.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 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps)))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/2 x) (sin.f64 (*.f64 1/2 eps)))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) -1/8)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/8) 1) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (fma.f64 1/48 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))))
(-.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (sin.f64 (*.f64 1/2 eps))) (fma.f64 1/8 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) 1/48))))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/2 x) (*.f64 1/48 (pow.f64 x 3)))) (*.f64 x (*.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) x) -1/8))))
(-.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/2 x) (*.f64 1/48 (pow.f64 x 3)))) (-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x (*.f64 x 1/8))) (sin.f64 (*.f64 1/2 eps))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x))))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x))))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x))))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 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))))
(+.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) -1/8))
(fma.f64 1/2 (*.f64 eps (cos.f64 x)) (*.f64 (+.f64 (*.f64 (*.f64 eps 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)))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 1/8 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/8) 1) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) -1/48))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x 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))))
(fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 (*.f64 (*.f64 eps eps) 1/4) (cos.f64 x) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) 1/4)))
(-.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 (fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (*.f64 -1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(fma.f64 (*.f64 (*.f64 eps eps) 1/4) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) 1/12))))
(fma.f64 (sin.f64 x) (fma.f64 1/2 eps (*.f64 (pow.f64 eps 3) -1/12)) (*.f64 eps (*.f64 (*.f64 eps (cos.f64 x)) 1/4)))
(-.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 (fma.f64 1/4 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (fma.f64 1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(+.f64 (fma.f64 (*.f64 (*.f64 eps eps) 1/4) (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) 1/12)))) (*.f64 -1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4))))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)) (fma.f64 (sin.f64 x) (fma.f64 1/2 eps (*.f64 (pow.f64 eps 3) -1/12)) (*.f64 (cos.f64 x) (*.f64 (pow.f64 eps 4) -1/48))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/2 x) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) (*.f64 1/8 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (-.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (*.f64 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) -1/8)))
(fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 (sin.f64 (*.f64 1/2 eps)) x)) (*.f64 (+.f64 (*.f64 (*.f64 x x) -1/8) 1) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/48 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (-.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (fma.f64 1/8 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 1/48 (sin.f64 (*.f64 1/2 eps))) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(-.f64 (fma.f64 1/2 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 x (sin.f64 (*.f64 1/2 eps)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (fma.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) 1/48) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 1/8 (*.f64 (*.f64 x 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 1/2 x) (*.f64 1/48 (pow.f64 x 3)))) (-.f64 (*.f64 x (*.f64 1/8 (*.f64 x (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (pow.f64 x 1/3) 2) (pow.f64 x 1/3) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (+.f64 x x)))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x)))))))
(*.f64 (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) 2) (*.f64 (pow.f64 (*.f64 -1 x) 1/3) (cbrt.f64 -1)) (+.f64 eps x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 2) (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) (+.f64 eps x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 (+.f64 eps x) (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (pow.f64 (*.f64 (cbrt.f64 (neg.f64 x)) (cbrt.f64 -1)) 3))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 x (+.f64 eps (*.f64 -1 (neg.f64 x)))))))

prune150.0ms (1.8%)

Pruning

16 alts after pruning (15 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh01515
Picked011
Done000
Total13916155
Error
0.1b
Counts
155 → 16
Alt Table
StatusErrorProgram
40.3b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
40.2b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.8b
(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))))
25.7b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
▶25.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
30.5b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
26.0b
(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))))
25.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
✓24.6b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))))
35.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
38.2b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
31.2b
(*.f64 -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)))))))
25.4b
(fma.f64 1 (*.f64 (cos.f64 x) (cos.f64 eps)) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
42.3b
(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))))
25.5b
(-.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))
Compiler

Compiled 4112 to 2495 computations (39.3% saved)

localize10.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(sin.f64 eps)
✓0.1b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))
✓0.2b
(*.f64 (sin.f64 x) (sin.f64 eps))
✓3.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))

series15.0ms (0.2%)

Counts
4 → 60
Calls

21 calls:

TimeVariablePointExpression
4.0ms
x
@-inf
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
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
eps
@0
(*.f64 (sin.f64 x) (sin.f64 eps))

rewrite65.0ms (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
01152
124128
2339828
Stop Event
1×node limit
Counts
4 → 170
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))))
(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)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (/.f64 1 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))) (pow.f64 (cos.f64 (-.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2)) (/.f64 1 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 (-.f64 x eps) x) 2)) (sin.f64 (/.f64 (+.f64 (-.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) (sqrt.f64 (cos.f64 x))) (-.f64 (sqrt.f64 (cos.f64 (-.f64 x eps))) (sqrt.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))) (pow.f64 (cos.f64 (-.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 x) (cos.f64 (-.f64 x eps))) (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (pow.f64 (cos.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 3) (pow.f64 (cos.f64 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#<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 (-.f64 x eps)) 2) (*.f64 (neg.f64 (cos.f64 x)) (neg.f64 (cos.f64 x)))) (-.f64 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.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 fma.f64 (cos.f64 eps) (cos.f64 x) (fma.f64 (sin.f64 x) (sin.f64 eps) (neg.f64 (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (-.f64 x eps)) 1 (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (-.f64 x eps)) 1 (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1 (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1 (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 (cos.f64 (-.f64 x eps)) (cos.f64 x)) 1 (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (-.f64 x eps)) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 (-.f64 x eps)) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (-.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 fma.f64 1 (-.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 fma.f64 1 (-.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 fma.f64 1 (*.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 fma.f64 1 (neg.f64 (cos.f64 x)) (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (fma.f64 (neg.f64 (cos.f64 x)) 1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (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 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (+.f64 (neg.f64 (cos.f64 x)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (cbrt.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 fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (cbrt.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 fma.f64 (pow.f64 (cbrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) 2) (cbrt.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 fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (neg.f64 (cbrt.f64 (cos.f64 x))) (cos.f64 (-.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.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 fma.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2) (cbrt.f64 (cos.f64 (-.f64 x eps))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (-.f64 x eps))) 2) (cbrt.f64 (cos.f64 (-.f64 x eps))) (*.f64 (neg.f64 (cos.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (sqrt.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 fma.f64 (sqrt.f64 (-.f64 (cos.f64 (-.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (-.f64 x 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simplify46.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
450×fma-def_binary64
403×sub-neg_binary64
386×cancel-sign-sub-inv_binary64
320×distribute-rgt-neg-in_binary64
309×distribute-lft-neg-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0971234
13171198
29911145
336911138
Stop Event
1×node limit
Counts
230 → 223
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)))
eps
(-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (*.f64 1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
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 (cos.f64 eps) (-.f64 (*.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 (fma.f64 1/2 (*.f64 x x) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1))))
(+.f64 (cos.f64 eps) (fma.f64 x (*.f64 x 1/2) (-.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 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (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) (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 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 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 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 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 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 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 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 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 eps (neg.f64 (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 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps eps))))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(-.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 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps eps))))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps 1/2)))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) (-.f64 (*.f64 1/24 (*.f64 eps eps)) 1/2))) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 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 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 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 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 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 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 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 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 (sin.f64 eps) x)
(-.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (sin.f64 eps) x) (*.f64 -1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))))
(fma.f64 (sin.f64 eps) x (*.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) -1/6))
(*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(-.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 (fma.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))))
(fma.f64 (sin.f64 eps) x (fma.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)) (*.f64 (*.f64 (sin.f64 eps) (pow.f64 x 3)) -1/6)))
(fma.f64 (sin.f64 eps) (*.f64 1/120 (pow.f64 x 5)) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(fma.f64 (sin.f64 eps) x (*.f64 (sin.f64 eps) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 1/120 (pow.f64 x 5)))))
(-.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 (fma.f64 (sin.f64 eps) x (*.f64 1/120 (*.f64 (sin.f64 eps) (pow.f64 x 5)))) (fma.f64 1/5040 (*.f64 (sin.f64 eps) (pow.f64 x 7)) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))))
(-.f64 (fma.f64 (sin.f64 eps) x (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 5) 1/120))) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 7) 1/5040))))
(-.f64 (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) x)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (*.f64 1/5040 (pow.f64 x 7)))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (sin.f64 eps) (-.f64 (*.f64 (pow.f64 x 7) -1/5040) (*.f64 1/6 (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 eps (sin.f64 x)) (*.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))
(-.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 (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 eps (sin.f64 x))) (*.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 eps 5) eps)) (*.f64 (*.f64 -1/6 (sin.f64 x)) (pow.f64 eps 3)))
(*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -1/6 eps)))
(*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) eps)))
(-.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)))))
(-.f64 (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (*.f64 eps (sin.f64 x))) (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/5040 (*.f64 (sin.f64 x) (pow.f64 eps 7)))))
(-.f64 (*.f64 (sin.f64 x) (fma.f64 1/120 (pow.f64 eps 5) eps)) (*.f64 (sin.f64 x) (fma.f64 1/6 (pow.f64 eps 3) (*.f64 1/5040 (pow.f64 eps 7)))))
(*.f64 (sin.f64 x) (+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 (pow.f64 eps 7) -1/5040)))))
(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 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x (*.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))))))
(-.f64 (cos.f64 eps) (*.f64 x (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (*.f64 x 1/2)))))
(+.f64 (cos.f64 eps) (*.f64 x (-.f64 (*.f64 x (*.f64 (cos.f64 eps) -1/2)) (sin.f64 eps))))
(-.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 (cos.f64 eps) (-.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (fma.f64 (sin.f64 eps) x (*.f64 1/2 (*.f64 (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 1/2 (*.f64 x (*.f64 x (cos.f64 eps))))))
(+.f64 (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) (*.f64 (*.f64 x x) (*.f64 (cos.f64 eps) -1/2)))
(+.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)) (*.f64 x (-.f64 (*.f64 x (*.f64 (cos.f64 eps) -1/2)) (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 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 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 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 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 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 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 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 eps) (sin.f64 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 (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 (*.f64 1/2 (cos.f64 x)) (*.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 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (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 (*.f64 1/6 (pow.f64 eps 3)) (sin.f64 x) (cos.f64 x)) (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 1/2 (cos.f64 x)) (*.f64 eps eps))))
(-.f64 (*.f64 (+.f64 (*.f64 (*.f64 eps eps) -1/2) 1) (cos.f64 x)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 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 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 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 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 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 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 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 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 eps) (sin.f64 x)))
eps
(-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))
(fma.f64 (pow.f64 eps 3) -1/6 eps)
(-.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (*.f64 1/6 (pow.f64 eps 3)))
(+.f64 eps (-.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 1/6 (pow.f64 eps 3))))
(-.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (*.f64 1/6 (pow.f64 eps 3)))
(fma.f64 1/120 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -1/6 eps))
(fma.f64 (pow.f64 eps 3) -1/6 (fma.f64 1/120 (pow.f64 eps 5) eps))
(-.f64 (+.f64 eps (*.f64 1/120 (pow.f64 eps 5))) (+.f64 (*.f64 1/5040 (pow.f64 eps 7)) (*.f64 1/6 (pow.f64 eps 3))))
(+.f64 eps (-.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 1/5040 (pow.f64 eps 7) (*.f64 1/6 (pow.f64 eps 3)))))
(-.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 1/6 (pow.f64 eps 3) (*.f64 1/5040 (pow.f64 eps 7))))
(+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 (pow.f64 eps 3) -1/6 (*.f64 (pow.f64 eps 7) -1/5040))))

prune203.0ms (2.4%)

Pruning

18 alts after pruning (17 fresh and 1 done)

PrunedKeptTotal
New2185223
Fresh21214
Picked101
Done011
Total22118239
Error
0.1b
Counts
239 → 18
Alt Table
StatusErrorProgram
40.3b
(log.f64 (*.f64 (exp.f64 (neg.f64 (cos.f64 x))) (exp.f64 (cos.f64 (+.f64 x eps)))))
40.2b
(/.f64 (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3)) (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)))
33.7b
(-.f64 (fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
25.8b
(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))))
25.7b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
37.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) 1/3))) (cos.f64 x))
25.4b
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
26.0b
(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))))
25.4b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
25.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (log1p.f64 (expm1.f64 (sin.f64 eps)))))) (cos.f64 x))
✓24.6b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))))
35.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
38.2b
(*.f64 -2 (cbrt.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3)))
31.2b
(*.f64 -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)))))))
30.5b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
25.6b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) 3))) (cos.f64 x))
42.3b
(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))))
25.4b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (expm1.f64 (log1p.f64 (sin.f64 eps)))))) (cos.f64 x))
Compiler

Compiled 4477 to 1629 computations (63.6% saved)

regimes1.7s (19.7%)

Accuracy

Total 0.3b remaining (61.4%)

Threshold costs 0.3b (61.4%)

Counts
236 → 3
Compiler

Compiled 3597 to 1661 computations (53.8% saved)

bsearch151.0ms (1.8%)

Algorithm
2×binary-search
Calls

2 calls:

76.0ms
eps
73.0ms
eps
Steps
ItersPointRange
0.000155
∈ [
2.8700468406177254e-10
, 
7531405.413666078
]
-0.000185
∈ [
-0.0018131212622360161
, 
-2.028516184404479e-15
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0%)

Algorithm
1×egg-herbie
Rules
13×+-commutative_binary64
13×*-commutative_binary64
12×sub-neg_binary64
8×neg-sub0_binary64
8×neg-mul-1_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
03793
16293
29193
310693
411593
511793
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (cos.f64 x))))
Outputs
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (cos.f64 x))))
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) (neg.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (cos.f64 x))))
(if (<=.f64 eps -3412647653636267/18446744073709551616) (-.f64 (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) 0) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 5718490662849961/36893488147419103232) (-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 (sin.f64 x) (fma.f64 (pow.f64 eps 3) -1/6 eps))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (*.f64 (log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps)))) (neg.f64 (sin.f64 x)))) (cos.f64 x))))

end310.0ms (3.6%)

Stop Event
1×fuel
Compiler

Compiled 514 to 325 computations (36.8% saved)

Profiling

Loading profile data...