Details

Time bar (total: 12.8s)

analyze4.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample8.2s (63.7%)

Results
3.6s2132×body2048valid
3.6s3964×body1024valid
766.0ms1380×body512valid
202.0ms522×body256valid
55.0ms256×body128valid
7.0msbody4096valid
Compiler

Compiled 20 to 14 computations (30% saved)

preprocess15.0ms (0.1%)

Algorithm
egg-herbie
Rules
rules-21_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11222
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(-.f64 (cos.f64 (+.f64 eps x)) (cos.f64 eps))
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 eps))
Compiler

Compiled 9 to 6 computations (33.3% saved)

simplify10.0ms (0.1%)

Algorithm
egg-herbie
Rules
rules-21_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
1811
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Outputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
38.2b
Counts
2 → 1
Alt Table
StatusErrorProgram
38.2b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
Compiler

Compiled 27 to 18 computations (33.3% saved)

localize6.0ms (0%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.4b
(cos.f64 (+.f64 x eps))
1.5b
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))

series9.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite52.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
421×rules-20_binary64
217×rules-34-rev_binary64
195×rules-21_binary64
125×rules-15-rev_binary64
98×add-sqr-sqrt_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
118817
2294917
Stop Event
node limit
Counts
2 → 118
Calls
Call 1
Inputs
(-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))
(cos.f64 (+.f64 x eps))
Outputs
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(cos.f64 x)) 2)) (cbrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) (neg.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) (sqrt.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 (+.f64 x eps)) (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (cos.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (neg.f64 (sin.f64 eps)) (sin.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 0)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 0)) (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.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 (*.f64 (cos.f64 (+.f64 x eps)) (cos.f64 0)) (*.f64 (sin.f64 (+.f64 x eps)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (fabs.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (cos.f64 (+.f64 x eps)) (sin.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (fabs.f64 (/.f64 1 (sqrt.f64 (cos.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3))) (fabs.f64 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 0 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (+.f64 (cos.f64 (+.f64 x eps)) (cos.f64 (-.f64 x eps))) (*.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 2)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 0 (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cos.f64 (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cos.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (cos.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (cos.f64 (+.f64 x eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 (+.f64 x eps)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 (+.f64 x eps))) 2) (cbrt.f64 (cos.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 (+.f64 x eps))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cos.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cos.f64 (+.f64 x eps))))))))

simplify27.0ms (0.2%)

Algorithm
egg-herbie
Rules
427×rules-11_binary64
407×rules-4_binary64
371×fma-neg_binary64
230×fma-def_binary64
196×rules-20_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
061623
1201612
2893603
Stop Event
node limit
Counts
166 → 148
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 (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))
(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))
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 (*.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (fma.f64 1/2 (*.f64 x x) (cos.f64 eps)) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 1/2 x)) (fma.f64 (sin.f64 eps) 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 (+.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 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (*.f64 1/2 (*.f64 x x))) (-.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x))) (fma.f64 (sin.f64 eps) x 1)) (cos.f64 eps)))
(-.f64 (fma.f64 (sin.f64 eps) (*.f64 1/6 (pow.f64 x 3)) (fma.f64 1/2 (*.f64 x x) (cos.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (*.f64 1/2 x)) (fma.f64 (sin.f64 eps) x 1)))
(-.f64 (fma.f64 x (*.f64 x 1/2) (cos.f64 eps)) (+.f64 (*.f64 (sin.f64 eps) (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 1/2 (fma.f64 (cos.f64 eps) (*.f64 x 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)))
(*.f64 eps (*.f64 (sin.f64 x) -1))
(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))))
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
(-.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 eps (sin.f64 x))))
(-.f64 (*.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3))) (fma.f64 eps (sin.f64 x) (*.f64 1/2 (*.f64 (cos.f64 x) (*.f64 eps eps)))))
(-.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps))))
(-.f64 (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 eps (sin.f64 x))))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 1/24 (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)))))
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (-.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps 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))
(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 (cos.f64 eps) (*.f64 1/2 (*.f64 x x)))))
(-.f64 (cos.f64 eps) (fma.f64 1/2 (*.f64 x (*.f64 (cos.f64 eps) x)) (*.f64 (sin.f64 eps) x)))
(-.f64 (+.f64 (cos.f64 eps) (*.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)))) (+.f64 (*.f64 (sin.f64 eps) x) (*.f64 1/2 (*.f64 (cos.f64 eps) (pow.f64 x 2)))))
(-.f64 (*.f64 (sin.f64 eps) (*.f64 (pow.f64 x 3) 1/6)) (-.f64 (fma.f64 (sin.f64 eps) x (*.f64 (cos.f64 eps) (*.f64 1/2 (*.f64 x x)))) (cos.f64 eps)))
(-.f64 (fma.f64 1/6 (*.f64 (sin.f64 eps) (pow.f64 x 3)) (cos.f64 eps)) (fma.f64 1/2 (*.f64 x (*.f64 (cos.f64 eps) x)) (*.f64 (sin.f64 eps) x)))
(-.f64 (cos.f64 eps) (+.f64 (*.f64 (sin.f64 eps) (-.f64 x (*.f64 1/6 (pow.f64 x 3)))) (*.f64 x (*.f64 (*.f64 (cos.f64 eps) 1/2) 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))
(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 1/2 (*.f64 eps 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 (sin.f64 x) (*.f64 1/6 (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 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (-.f64 (cos.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps 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))

prune126.0ms (1%)

Pruning

9 alts after pruning (9 fresh and 0 done)

PrunedKeptTotal
New1399148
Fresh000
Picked101
Done000
Total1409149
Error
0.2b
Counts
149 → 9
Alt Table
StatusErrorProgram
49.6b
(*.f64 (-.f64 (sqrt.f64 (cos.f64 (+.f64 x eps))) (sqrt.f64 (cos.f64 x))) (+.f64 (sqrt.f64 (cos.f64 x)) (sqrt.f64 (cos.f64 (+.f64 x eps)))))
38.3b
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (cos.f64 (+.f64 x eps)) (cos.f64 x)))))
14.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))))
33.6b
(fma.f64 (cos.f64 x) (*.f64 1/24 (pow.f64 eps 4)) (-.f64 (*.f64 (sin.f64 x) (-.f64 (*.f64 1/6 (pow.f64 eps 3)) eps)) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
33.0b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
23.6b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
49.7b
(-.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
23.6b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)) 1)
23.8b
(/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))
Compiler

Compiled 3190 to 1099 computations (65.5% saved)

localize10.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.0b
(+.f64 x (+.f64 x eps))
0.3b
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
1.3b
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))

series18.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

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

rewrite65.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
279×rules-34-rev_binary64
128×add-sqr-sqrt_binary64
124×pow1_binary64
124×rules-40_binary64
124×rules-41_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01139
127139
2386939
Stop Event
node limit
Counts
3 → 135
Calls
Call 1
Inputs
(sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2))
(*.f64 (sin.f64 (/.f64 eps 2)) (sin.f64 (/.f64 (+.f64 x (+.f64 x eps)) 2)))
(+.f64 x (+.f64 x eps))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (fabs.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (/.f64 1 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 eps 1/2)) (/.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (fabs.f64 (/.f64 1 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) (fabs.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2) (*.f64 eps 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2) (*.f64 eps 1/2))) (cos.f64 (+.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2) (*.f64 eps 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (fabs.f64 (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (fabs.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (fabs.f64 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((#(struct:change #<rule egg-rr> (2) ((x -.f64 x (neg.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x eps) (neg.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x (+.f64 x eps)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 x x) (neg.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 x (+.f64 x eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 x (+.f64 1 (/.f64 (+.f64 x eps) x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x eps) (+.f64 1 (/.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 x (+.f64 x eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 x (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) (pow.f64 (cbrt.f64 (+.f64 x (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x 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x eps))) (sqrt.f64 (+.f64 x (+.f64 x eps))) 0)))) (#(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) (+.f64 x x))))) (#(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 log1p.f64 (expm1.f64 (+.f64 x (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 x (+.f64 x eps))))))))

simplify31.0ms (0.2%)

Algorithm
egg-herbie
Rules
799×rules-4_binary64
451×rules-11_binary64
286×rules-20_binary64
242×rules-6_binary64
164×rules-13_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
0681106
1242985
21118876
Stop Event
node limit
Counts
207 → 173
Calls
Call 1
Inputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 (*.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 x)
(+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/2 (*.f64 eps (cos.f64 x))) (sin.f64 x)) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 1/8 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x))))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(*.f64 2 x)
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
eps
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
(+.f64 eps (*.f64 2 x))
Outputs
(sin.f64 (*.f64 1/2 eps))
(+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))
(fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))
(-.f64 (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (pow.f64 x 2))))
(-.f64 (+.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 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(-.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))) (*.f64 1/2 (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) 1/3))))
(-.f64 (-.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x 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 (*.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 (sin.f64 x) (*.f64 1/8 (*.f64 eps eps))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 1/8 eps))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))))
(-.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 (sin.f64 x) (*.f64 1/8 (*.f64 eps eps)))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 (cos.f64 x) (*.f64 1/48 (pow.f64 eps 3)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 1/8 eps)))))
(-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3))))))
(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 eps (*.f64 1/2 (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 eps (*.f64 eps 1/4))))
(*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/2))))
(-.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 (sin.f64 x) (*.f64 1/12 (pow.f64 eps 3))))
(-.f64 (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12)))
(+.f64 (*.f64 (cos.f64 x) (*.f64 (*.f64 eps eps) 1/4)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 (pow.f64 eps 3) 1/12))))
(-.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 (cos.f64 x) (*.f64 1/48 (pow.f64 eps 4)))))
(-.f64 (fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (*.f64 eps 1/4)))) (fma.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12) (*.f64 (pow.f64 eps 4) (*.f64 (cos.f64 x) 1/48))))
(-.f64 (*.f64 eps (*.f64 1/2 (sin.f64 x))) (-.f64 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) 1/12)) (*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) 1/4) (*.f64 1/48 (pow.f64 eps 4))))))
(*.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 (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) 1/2)) (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 x x) (*.f64 1/2 (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 (sin.f64 (*.f64 1/2 eps)) (*.f64 (pow.f64 x 3) (*.f64 1/6 (cos.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)))) (fma.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) 1/6) (sin.f64 (*.f64 1/2 eps))))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (-.f64 (+.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) 1))) (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 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)

prune196.0ms (1.5%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1649173
Fresh358
Picked101
Done000
Total16814182
Error
0.1b
Counts
182 → 14
Alt Table
StatusErrorProgram
43.3b
(*.f64 -2 (fabs.f64 (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (fabs.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))))
39.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))
33.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3))))))))
23.8b
(/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))
15.5b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))))
14.9b
(*.f64 -2 (expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))
22.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -1)))
33.0b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
23.6b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
19.1b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (/.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))
49.7b
(-.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
23.6b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)) 1)
16.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))
22.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))
Compiler

Compiled 4498 to 2864 computations (36.3% saved)

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
0.2b
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))
0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))
1.3b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

series554.0ms (4.3%)

Counts
4 → 96
Calls

24 calls:

TimeVariablePointExpression
134.0ms
eps
@-inf
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
129.0ms
x
@inf
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
129.0ms
eps
@inf
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
125.0ms
x
@-inf
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
6.0ms
x
@0
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))

rewrite82.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
298×rules-34-rev_binary64
137×add-sqr-sqrt_binary64
134×rules-40_binary64
134×rules-41_binary64
134×rules-42_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01374
130074
2424874
Stop Event
node limit
Counts
4 → 146
Calls
Call 1
Inputs
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (cos.f64 0)) (*.f64 (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 0)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (fabs.f64 (/.f64 1 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (/.f64 1 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 eps 1/2)) (/.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) (fabs.f64 (/.f64 1 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (+.f64 x eps)) eps))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (+.f64 x eps)) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (+.f64 x eps)) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) 3) -1) (+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)) (+.f64 1 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) 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(*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 2) (cbrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))))))

simplify62.0ms (0.5%)

Algorithm
egg-herbie
Rules
409×rules-21_binary64
313×rules-14-rev_binary64
294×fma-def_binary64
265×rules-10-rev_binary64
222×rules-13_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01432622
15802420
232592193
Stop Event
node limit
Counts
242 → 161
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))))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(-.f64 (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (*.f64 1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x)))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.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)))
(log.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(+.f64 (log.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (pow.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))))))
(-.f64 (+.f64 (log.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (+.f64 (*.f64 1/3 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 3) (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 3))) (+.f64 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 3) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (pow.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2)))))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (pow.f64 (cos.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (pow.f64 (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) 2))) (+.f64 (*.f64 1/2 (/.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2)) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))) (*.f64 1/6 (/.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))) (+.f64 1 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(*.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 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))) (+.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 (*.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (*.f64 1/8 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x)))))))
(-.f64 (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/4 (*.f64 (pow.f64 eps 2) (cos.f64 x))) (+.f64 (*.f64 1/16 (*.f64 (pow.f64 eps 4) (*.f64 (pow.f64 (sin.f64 x) 2) (cos.f64 x)))) (+.f64 (*.f64 1/2 (*.f64 eps (sin.f64 x))) (*.f64 1/24 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3))))))) (+.f64 (*.f64 1/8 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (*.f64 1/48 (*.f64 (pow.f64 eps 4) (cos.f64 x))) (+.f64 (*.f64 1/64 (*.f64 (pow.f64 eps 4) (pow.f64 (sin.f64 x) 4))) (+.f64 (*.f64 1/12 (*.f64 (pow.f64 eps 3) (sin.f64 x))) (+.f64 (*.f64 1/32 (*.f64 (pow.f64 eps 4) (pow.f64 (cos.f64 x) 2))) (*.f64 1/8 (*.f64 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))))))))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log.f64 (+.f64 1 (*.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 (cos.f64 (*.f64 1/2 eps)) x) (-.f64 (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))) (sin.f64 (*.f64 1/2 eps))))
(-.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (*.f64 1/2 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 x x))))
(-.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 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/6 (pow.f64 x 3)))))
(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))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (*.f64 (sin.f64 x) (*.f64 1/8 (*.f64 eps eps))))
(-.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 (sin.f64 x) (*.f64 eps (*.f64 1/8 eps)) (*.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(-.f64 (fma.f64 1/2 (*.f64 eps (cos.f64 x)) (sin.f64 x)) (fma.f64 (sin.f64 x) (*.f64 1/8 (*.f64 eps eps)) (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) 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))
(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 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (-.f64 (*.f64 (*.f64 x x) (*.f64 1/2 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2))) (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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 x 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 (*.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 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (-.f64 (fma.f64 1/2 (*.f64 (*.f64 x x) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 1/6 (sin.f64 (*.f64 1/2 eps))))) (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)))) (fma.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (*.f64 1/6 (pow.f64 x 3))) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 x x)))))
(-.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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 1/2 (*.f64 x x)) (*.f64 (pow.f64 x 3) (*.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) 1/6) (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 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)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (sin.f64 x) (*.f64 1/2 eps))
(*.f64 (*.f64 1/2 eps) (sin.f64 x))
(*.f64 eps (*.f64 1/2 (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 (sin.f64 x) (*.f64 1/2 eps)))
(fma.f64 (cos.f64 x) (*.f64 eps (*.f64 1/4 eps)) (*.f64 (*.f64 1/2 eps) (sin.f64 x)))
(*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)) 1/2)))
(-.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 (sin.f64 x) (*.f64 1/2 eps))) (*.f64 (sin.f64 x) (*.f64 1/12 (pow.f64 eps 3))))
(-.f64 (fma.f64 (cos.f64 x) (*.f64 eps (*.f64 1/4 eps)) (*.f64 (*.f64 1/2 eps) (sin.f64 x))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12)))
(-.f64 (*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)) 1/2))) (*.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12)))
(-.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 (sin.f64 x) (*.f64 1/2 eps))) (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 (cos.f64 x) (*.f64 eps (*.f64 1/4 eps)) (*.f64 (*.f64 1/2 eps) (sin.f64 x))) (fma.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12) (*.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(-.f64 (*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)) 1/2))) (fma.f64 (sin.f64 x) (*.f64 (pow.f64 eps 3) 1/12) (*.f64 (cos.f64 x) (*.f64 1/48 (pow.f64 eps 4)))))
(*.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))))
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(log.f64 (+.f64 1 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))))
(log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 x 2))))))
(log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 x 2 eps)))))
(log1p.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x))))

prune242.0ms (1.9%)

Pruning

14 alts after pruning (14 fresh and 0 done)

PrunedKeptTotal
New1574161
Fresh31013
Picked101
Done000
Total16114175
Error
0.1b
Counts
175 → 14
Alt Table
StatusErrorProgram
39.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))
33.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3))))))))
23.8b
(*.f64 -2 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 2)))
49.7b
(-.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
14.9b
(*.f64 -2 (expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0)))
15.5b
(*.f64 -2 (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3) (sin.f64 (*.f64 eps 1/2))))))
33.0b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
23.6b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
23.6b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)) 1)
23.8b
(/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))
22.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -1)))
16.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))
22.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (log.f64 (+.f64 1 (expm1.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))
39.4b
(*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))
Compiler

Compiled 5162 to 3552 computations (31.2% saved)

localize14.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))
0.2b
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
0.3b
(*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))
1.3b
(sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))

series13.0ms (0.1%)

Counts
1 → 24
Calls

6 calls:

TimeVariablePointExpression
4.0ms
x
@inf
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
2.0ms
x
@-inf
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
2.0ms
x
@0
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
2.0ms
eps
@0
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
1.0ms
eps
@inf
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))

rewrite56.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
301×rules-34-rev_binary64
145×add-sqr-sqrt_binary64
145×rules-42_binary64
145×rules-43_binary64
143×rules-40_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01520
132920
2450120
Stop Event
node limit
Counts
1 → 48
Calls
Call 1
Inputs
(expm1.f64 (+.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) 2) (*.f64 (cbrt.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (*.f64 (sin.f64 (*.f64 eps 1/2)) (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sqrt.f64 (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (/.f64 1 (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 (*.f64 eps 1/2)) (/.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (*.f64 1/2 (-.f64 (+.f64 x (+.f64 x eps)) eps))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (+.f64 x eps)) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (cos.f64 (-.f64 (*.f64 eps 1/2) (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (cos.f64 (*.f64 1/2 (+.f64 (+.f64 x (+.f64 x eps)) eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) 3) -1) (+.f64 (*.f64 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1) (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)) (+.f64 1 (+.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (neg.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (sin.f64 (*.f64 eps 1/2))) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3) (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 (*.f64 eps 1/2)) 3) (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (*.f64 eps 1/2)) (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))) 1 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 2) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2)))))))))

simplify41.0ms (0.3%)

Algorithm
egg-herbie
Rules
464×rules-4_binary64
356×rules-15-rev_binary64
234×rules-11_binary64
223×fma-neg_binary64
185×rules-21_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
050588
1165547
2712476
33822468
Stop Event
node limit
Counts
72 → 65
Calls
Call 1
Inputs
(pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)
(+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))))
(-.f64 (+.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (+.f64 (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (pow.f64 x 2))) (*.f64 1/6 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3))))))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))) (sin.f64 (*.f64 1/2 eps)))
(*.f64 1/2 (*.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)))
Outputs
(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)) (+.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 (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) (*.f64 x x))) (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2)))
(-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (+.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) (*.f64 x x))))
(-.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps)))) (*.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x))))
(+.f64 (*.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x)) (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (-.f64 1 (*.f64 1/2 (*.f64 x 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 (*.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 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (*.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)) (+.f64 (sin.f64 (*.f64 1/2 eps)) (*.f64 (cos.f64 (*.f64 1/2 eps)) x))) (fma.f64 1/2 (*.f64 (pow.f64 (sin.f64 (*.f64 1/2 eps)) 2) (*.f64 x x)) (*.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 eps)) (-.f64 (*.f64 (cos.f64 (*.f64 1/2 eps)) x) (-.f64 (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (*.f64 x x)) (*.f64 (sin.f64 (*.f64 1/2 eps)) 1))) (sin.f64 (*.f64 1/2 eps)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (-.f64 (fma.f64 (cos.f64 (*.f64 1/2 eps)) x (sin.f64 (*.f64 1/2 eps))) (fma.f64 1/6 (*.f64 (cos.f64 (*.f64 1/2 eps)) (pow.f64 x 3)) (*.f64 (*.f64 1/2 (*.f64 x 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 eps)) (sin.f64 (*.f64 1/2 (+.f64 eps (*.f64 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))
(*.f64 1/2 (*.f64 eps (sin.f64 x)))
(*.f64 (*.f64 1/2 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 (*.f64 eps eps) (cos.f64 x)) (*.f64 1/2 (*.f64 eps (sin.f64 x))))
(*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) eps)) 1/2)))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x))))
(fma.f64 1/2 (*.f64 eps (sin.f64 x)) (*.f64 eps (*.f64 (*.f64 1/4 (cos.f64 x)) eps)))
(-.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 (*.f64 eps eps) (cos.f64 x)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (*.f64 (sin.f64 x) (*.f64 1/12 (pow.f64 eps 3))))
(-.f64 (*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) eps)) 1/2))) (*.f64 (sin.f64 x) (*.f64 1/12 (pow.f64 eps 3))))
(fma.f64 1/4 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/12 (pow.f64 eps 3)))))
(-.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 (*.f64 eps eps) (cos.f64 x)) (*.f64 1/2 (*.f64 eps (sin.f64 x)))) (fma.f64 1/12 (*.f64 (sin.f64 x) (pow.f64 eps 3)) (*.f64 (cos.f64 x) (*.f64 1/48 (pow.f64 eps 4)))))
(-.f64 (*.f64 1/2 (fma.f64 eps (sin.f64 x) (*.f64 (*.f64 eps (*.f64 (cos.f64 x) eps)) 1/2))) (fma.f64 (sin.f64 x) (*.f64 1/12 (pow.f64 eps 3)) (*.f64 1/48 (*.f64 (cos.f64 x) (pow.f64 eps 4)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 1/4 (*.f64 eps eps)) (*.f64 1/48 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/12 (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (-.f64 (*.f64 eps (*.f64 eps 1/4)) (*.f64 1/48 (pow.f64 eps 4)))) (*.f64 (sin.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/12 (pow.f64 eps 3)))))
(*.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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x 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 2 x)))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (*.f64 1/2 (fma.f64 2 x eps))))
(*.f64 (sin.f64 (*.f64 1/2 eps)) (sin.f64 (fma.f64 1/2 eps x)))

prune247.0ms (1.9%)

Pruning

13 alts after pruning (13 fresh and 0 done)

PrunedKeptTotal
New2101211
Fresh11213
Picked101
Done000
Total21213225
Error
0.1b
Counts
225 → 13
Alt Table
StatusErrorProgram
39.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (pow.f64 (sqrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))
33.3b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3))))))))
23.8b
(*.f64 -2 (expm1.f64 (pow.f64 (sqrt.f64 (log1p.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sin.f64 (*.f64 eps 1/2))))) 2)))
49.7b
(-.f64 (*.f64 (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (+.f64 (sqrt.f64 (*.f64 (cos.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (sin.f64 eps))))) (cos.f64 x))
15.0b
(*.f64 -2 (expm1.f64 (+.f64 (log1p.f64 (/.f64 (sin.f64 (*.f64 eps 1/2)) (/.f64 1 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) 0)))
23.8b
(/.f64 (-.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (sin.f64 eps)) 3)) (*.f64 (cos.f64 x) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))) (+.f64 (*.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (cos.f64 eps))) (+.f64 (*.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))))))
33.0b
(neg.f64 (fma.f64 eps (sin.f64 x) (*.f64 (cos.f64 x) (*.f64 1/2 (*.f64 eps eps)))))
23.6b
(-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))
23.6b
(/.f64 (-.f64 (*.f64 (cos.f64 x) (cos.f64 eps)) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (sin.f64 eps))) 1)) 1)
22.8b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (+.f64 (exp.f64 (log1p.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) -1)))
16.2b
(*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (cbrt.f64 (pow.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) 3))))
15.5b
(*.f64 -2 (expm1.f64 (log1p.f64 (*.f64 (pow.f64 (cbrt.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 3) (sin.f64 (*.f64 eps 1/2))))))
39.4b
(*.f64 -2 (*.f64 (sqrt.f64 (sin.f64 (*.f64 eps 1/2))) (*.f64 (sin.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (sqrt.f64 (sin.f64 (*.f64 eps 1/2))))))
Compiler

Compiled 6135 to 4318 computations (29.6% saved)

regimes2.4s (18.7%)

Accuracy

Total 0.3b remaining (64.4%)

Threshold costs 0.3b (64.4%)

Counts
276 → 3
Compiler

Compiled 16793 to 12563 computations (25.2% saved)

bsearch115.0ms (0.9%)

Algorithm
binary-search
Calls

2 calls:

58.0ms
eps
54.0ms
eps
Steps
ItersPointRange
0.0027
∈ [
3.8266427441628244e-5
,
0.3771985859665442
]
-0.003
∈ [
-2088275.7320518587
,
-6.410769717510364e-7
]
Compiler

Compiled 3 to 2 computations (33.3% saved)

simplify2.0ms (0%)

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
038106
Stop Event
saturated
Calls
Call 1
Inputs
(if (<=.f64 eps -3458764513820541/1152921504606846976) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/1152921504606846976) (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3)))))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))
Outputs
(if (<=.f64 eps -3458764513820541/1152921504606846976) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x)) (if (<=.f64 eps 3112888062438487/1152921504606846976) (*.f64 -2 (*.f64 (sin.f64 (/.f64 eps 2)) (-.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps 1/8))) (*.f64 (cos.f64 x) (-.f64 (*.f64 1/2 eps) (*.f64 1/48 (pow.f64 eps 3)))))))) (-.f64 (fma.f64 (cos.f64 x) (cos.f64 eps) (neg.f64 (*.f64 (sin.f64 x) (sin.f64 eps)))) (cos.f64 x))))

end248.0ms (1.9%)

Stop Event
fuel
Compiler

Compiled 498 to 288 computations (42.2% saved)

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