Details

Time bar (total: 7.6s)

analyze1.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample5.2s (69%)

Results
2.3s4006×body1024valid
2.2s2132×body2048valid
485.0ms1351×body512valid
132.0ms515×body256valid
37.0ms246×body128valid
16.0ms6×body4096valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess19.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

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

Compiled 9 to 6 computations (33.3% saved)

simplify13.0ms (0.2%)

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))

prune2.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
40.7b
Counts
2 → 1
Alt Table
StatusErrorProgram
▶40.7b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.6b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
✓4.5b
(cos.f64 (+.f64 x eps))

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite61.0ms (0.8%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
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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simplify34.0ms (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))

prune182.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New18013193
Fresh000
Picked101
Done000
Total18113194
Error
0.2b
Counts
194 → 13
Alt Table
StatusErrorProgram
40.9b
(-.f64 (+.f64 (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (cos.f64 (+.f64 x eps)))))) (cos.f64 x))
25.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
40.7b
(log.f64 (exp.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
25.4b
(-.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))
▶15.7b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
25.7b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
25.3b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
25.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (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))))
40.8b
(log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))
30.7b
(+.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)))
40.8b
(/.f64 1 (/.f64 (fma.f64 (cos.f64 x) (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)) (pow.f64 (cos.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 x) 3))))
30.2b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
Compiler

Compiled 4071 to 1288 computations (68.4% saved)

localize14.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
✓0.0b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
✓0.0b
(+.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)))
✓4.3b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

series15.0ms (0.2%)

Counts
4 → 96
Calls

24 calls:

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

rewrite39.0ms (0.5%)

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

Useful iterations: 1 (0.0ms)

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

simplify56.0ms (0.7%)

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

Useful iterations: 2 (0.0ms)

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

prune184.0ms (2.4%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New1605165
Fresh4812
Picked101
Done000
Total16513178
Error
0.1b
Counts
178 → 13
Alt Table
StatusErrorProgram
39.9b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
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))))
38.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
25.4b
(-.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))
36.5b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
▶24.9b
(*.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))))
25.7b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
33.8b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
25.3b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
25.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
25.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
30.7b
(+.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)))
30.2b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
Compiler

Compiled 3897 to 2519 computations (35.4% saved)

localize17.0ms (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)
✓0.5b
(cbrt.f64 x)
✓7.2b
(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
3.0ms
x
@-inf
(cbrt.f64 x)
2.0ms
x
@-inf
(pow.f64 (cbrt.f64 x) 2)
1.0ms
x
@-inf
(sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))
1.0ms
x
@0
(sin.f64 (*.f64 (fma.f64 (pow.f64 (cbrt.f64 x) 2) (cbrt.f64 x) (+.f64 x eps)) 1/2))
1.0ms
x
@0
(pow.f64 (cbrt.f64 x) 2)

rewrite47.0ms (0.6%)

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)))))))

simplify48.0ms (0.6%)

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)))))))

prune165.0ms (2.2%)

Pruning

13 alts after pruning (12 fresh and 1 done)

PrunedKeptTotal
New1390139
Fresh01212
Picked011
Done000
Total13913152
Error
0.1b
Counts
152 → 13
Alt Table
StatusErrorProgram
39.9b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
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))))
38.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
25.4b
(-.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))
36.5b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
✓24.9b
(*.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))))
25.7b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (cos.f64 eps)) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
33.8b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))))
25.3b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
25.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (neg.f64 (cos.f64 x)))))
▶25.2b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
30.7b
(+.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)))
30.2b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
Compiler

Compiled 3906 to 2379 computations (39.1% saved)

localize10.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
✓0.1b
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
✓2.3b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))

series12.0ms (0.2%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
5.0ms
eps
@-inf
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
2.0ms
x
@inf
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
1.0ms
eps
@inf
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
1.0ms
x
@-inf
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
1.0ms
x
@0
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))

rewrite45.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
833×log1p-expm1-u_binary64
833×expm1-log1p-u_binary64
104×add-sqr-sqrt_binary64
102×*-un-lft-identity_binary64
102×pow1_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01032
119930
2244830
Stop Event
1×node limit
Counts
2 → 65
Calls
Call 1
Inputs
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 1) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 0) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (-.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 1) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) -1) (*.f64 (cos.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (*.f64 (sin.f64 x) (sin.f64 eps))) (*.f64 -1 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (-.f64 0 (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (neg.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))) (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 0 (+.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2) (*.f64 0 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 0 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (pow.f64 (cos.f64 x) 2)) (-.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))))

simplify51.0ms (0.7%)

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

Useful iterations: 3 (0.0ms)

IterNodesCost
064844
1207826
2639808
32400791
Stop Event
1×node limit
Counts
113 → 98
Calls
Call 1
Inputs
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
1
(+.f64 (*.f64 (sin.f64 eps) x) 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (*.f64 1/2 (pow.f64 x 2)))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) x) 1))
(-.f64 (cos.f64 eps) (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (pow.f64 x 2))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x)))))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1)))
(-.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (+.f64 (cos.f64 eps) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2)))) (+.f64 (*.f64 (sin.f64 eps) x) (+.f64 1 (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))) (+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 1/2 (*.f64 (cos.f64 eps) (*.f64 x x))))))
(+.f64 (cos.f64 eps) (-.f64 (fma.f64 1/2 (*.f64 x x) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))) (fma.f64 (sin.f64 eps) x (fma.f64 1/2 (*.f64 x (*.f64 x (cos.f64 eps))) 1))))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)) (fma.f64 x (*.f64 x 1/2) (cos.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 x 1/2)) (fma.f64 (sin.f64 eps) x 1)))
(+.f64 (cos.f64 eps) (-.f64 (+.f64 (*.f64 (*.f64 x x) (-.f64 1/2 (*.f64 (cos.f64 eps) 1/2))) -1) (*.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(*.f64 -1 (*.f64 eps (sin.f64 x)))
(neg.f64 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (neg.f64 eps))
(neg.f64 (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(neg.f64 (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (*.f64 eps (*.f64 eps (cos.f64 x))) -1/2) (*.f64 eps (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)) (*.f64 eps (sin.f64 x)))
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3))) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) -1/2)))
(fma.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/24 (*.f64 (cos.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (*.f64 1/6 (pow.f64 eps 3)))) (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6))))
(+.f64 (*.f64 (cos.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 eps (*.f64 eps -1/2)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
1
(+.f64 (*.f64 (sin.f64 eps) x) 1)
(fma.f64 (sin.f64 eps) x 1)
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (*.f64 1/2 (pow.f64 x 2)))
(+.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 -1/2 (*.f64 x x)))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (*.f64 x (*.f64 x 1/2)))
(fma.f64 (*.f64 x x) -1/2 (fma.f64 (sin.f64 eps) x 1))
(-.f64 (+.f64 (*.f64 (sin.f64 eps) x) 1) (+.f64 (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3))) (*.f64 1/2 (pow.f64 x 2))))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))))
(-.f64 (fma.f64 (sin.f64 eps) x 1) (fma.f64 1/2 (*.f64 x x) (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6))))
(+.f64 (+.f64 1 (*.f64 x (*.f64 x -1/2))) (*.f64 (sin.f64 eps) (-.f64 x (*.f64 1/6 (pow.f64 x 3)))))
(+.f64 1 (fma.f64 (sin.f64 eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)) (*.f64 x (*.f64 x -1/2))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(cos.f64 x)
(+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))
(fma.f64 eps (sin.f64 x) (cos.f64 x))
(-.f64 (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (cos.f64 x) (-.f64 (*.f64 eps (sin.f64 x)) (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)) (cos.f64 x))
(fma.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3))) (cos.f64 x))
(-.f64 (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (fma.f64 1/120 (*.f64 (sin.f64 x) (pow.f64 eps 5)) (+.f64 (cos.f64 x) (*.f64 eps (sin.f64 x)))) (*.f64 -1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.f64 (fma.f64 (*.f64 1/120 (pow.f64 eps 5)) (sin.f64 x) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 eps (*.f64 1/6 (pow.f64 eps 3)))))
(fma.f64 (sin.f64 x) (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 (sin.f64 x) (+.f64 eps (*.f64 (pow.f64 eps 3) -1/6)) (cos.f64 x)))
(+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (*.f64 (pow.f64 eps 3) -1/6)))))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x))
(fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))
(fma.f64 (sin.f64 eps) (sin.f64 x) (cos.f64 x))

prune82.0ms (1.1%)

Pruning

15 alts after pruning (14 fresh and 1 done)

PrunedKeptTotal
New93598
Fresh2911
Picked101
Done011
Total9615111
Error
0.1b
Counts
111 → 15
Alt Table
StatusErrorProgram
39.9b
(*.f64 -2 (pow.f64 (pow.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) 3) 1/3))
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))))
38.4b
(*.f64 -2 (*.f64 (sin.f64 (*.f64 (+.f64 eps (-.f64 x x)) 1/2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3))))
25.4b
(-.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))
36.5b
(*.f64 -2 (exp.f64 (log.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
✓24.9b
(*.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))))
25.7b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.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 (cos.f64 x) (cos.f64 eps) (neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3) (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) (cos.f64 x)))))))
25.6b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))) (cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 2)))))
30.0b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)))) 1)))
25.3b
(-.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 x))
30.7b
(+.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)))
25.5b
(fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (log.f64 (exp.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
30.2b
(*.f64 eps (-.f64 (*.f64 -1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)))
5.7b
(-.f64 (*.f64 (cos.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (sin.f64 x)))
Compiler

Compiled 2151 to 762 computations (64.6% saved)

regimes827.0ms (10.9%)

Accuracy

Total 0.3b remaining (66.5%)

Threshold costs 0.3b (66.5%)

Counts
194 → 3
Compiler

Compiled 2941 to 1312 computations (55.4% saved)

bsearch125.0ms (1.7%)

Algorithm
2×binary-search
Calls

2 calls:

64.0ms
eps
59.0ms
eps
Steps
ItersPointRange
0.0028
∈ [
2.3578871134793538e-7
, 
8.998012628926454e+24
]
-0.0025
∈ [
-8352692.0397258755
, 
-7.810117184685359e-5
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify4.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
03892
15992
27592
38792
49292
59392
Stop Event
1×saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -5764607523034235/2305843009213693952) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.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))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))))
Outputs
(if (<=.f64 eps -5764607523034235/2305843009213693952) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.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))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (pow.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x)) 1)))))
(if (<=.f64 eps -5764607523034235/2305843009213693952) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (neg.f64 (sin.f64 x)) (sin.f64 eps))) (cos.f64 x)) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.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))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))
(if (<=.f64 eps -5764607523034235/2305843009213693952) (-.f64 (fma.f64 (cos.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (neg.f64 (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 6456360425798343/2305843009213693952) (+.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))) (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (fma.f64 (sin.f64 x) (sin.f64 eps) (cos.f64 x))))))

end266.0ms (3.5%)

Stop Event
1×fuel
Compiler

Compiled 481 to 279 computations (42% saved)

Profiling

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