Details

Time bar (total: 11.0s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample4.0s (36.5%)

Results
2.0s3640×body1024valid
1.1s1183×body2048valid
480.0ms1452×body512valid
431.0ms1977×body256valid
21.0msbody4096valid
Bogosity

preprocess21.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01122
11722
22522
33822
45322
58122
614122
719922
828422
935522
1040722
1141122
022
Stop Event
saturated
saturated
Calls
Call 1
Inputs
0
1
Outputs
0
1
Call 2
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 eps))
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify29.0ms (0.3%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
43111
54811
68611
712311
816711
920311
1022911
1123111
Stop Event
saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

eval0.0ms (0%)

Compiler

Compiled 9 to 6 computations (33.3% saved)

prune1.0ms (0%)

Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022
Error
37.5b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
37.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize8.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
3.6b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 20 to 6 computations (70% saved)

series7.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

TimeVariablePointExpression
3.0ms
x
@inf
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms
eps
@inf
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.0ms
x
@0
(sin.f64 (+.f64 x eps))
1.0ms
eps
@0
(sin.f64 (+.f64 x eps))
0.0ms
eps
@0
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))

rewrite83.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
587×unpow-prod-down_binary64
464×fma-def_binary64
445×log-prod_binary64
279×pow-prod-down_binary64
265×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
117317
2274517
Stop Event
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(sin.f64 (+.f64 x eps))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Outputs
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(sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))))

simplify100.0ms (0.9%)

Algorithm
egg-herbie
Rules
485×fma-neg_binary64
414×distribute-rgt-in_binary64
349×distribute-lft-in_binary64
324×cancel-sign-sub-inv_binary64
290×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04223837
110203685
230093557
Stop Event
node limit
Counts
219 → 266
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 1 1/3) (sin.f64 (+.f64 x eps)))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 2) 3) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (sin.f64 (+.f64 x eps)) (cbrt.f64 (sin.f64 (+.f64 x eps)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (sqrt.f64 (sin.f64 (+.f64 x eps)))) 1/3) (cbrt.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (pow.f64 (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) 1))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (pow.f64 (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(*.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 (pow.f64 1 1/3) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (pow.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) 1) (pow.f64 (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) 1))
(*.f64 (pow.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) 1) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(*.f64 (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)) 1/3) (pow.f64 (sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3)) 1/3))
(*.f64 (pow.f64 (pow.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) 1/3) (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1/3) (cbrt.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(*.f64 (pow.f64 (*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 2) 1/3) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2) 3) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3) (pow.f64 (sqrt.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3))
(*.f64 (pow.f64 (sqrt.f64 2) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) -1)
(pow.f64 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) -1)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (neg.f64 (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (/.f64 1 (exp.f64 (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(log.f64 (*.f64 (/.f64 1 (exp.f64 (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (neg.f64 (sin.f64 x)))
(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 1 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (neg.f64 (cbrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (neg.f64 (sqrt.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (neg.f64 (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2 (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2 (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (+.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(sin.f64 (+.f64 eps x))
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(fma.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2 (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (*.f64 0 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 eps 1/2) 0)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) 0)
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (*.f64 0 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 eps 1/2) 0)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) 0)
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (*.f64 0 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 eps 1/2) 0)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) 0)
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 x (-.f64 eps x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 2 (*.f64 (sin.f64 (*.f64 1/2 (+.f64 eps (-.f64 x x)))) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) (*.f64 0 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (+.f64 (*.f64 eps 1/2) 0)) (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x))))) 0)

eval93.0ms (0.8%)

Compiler

Compiled 5003 to 1606 computations (67.9% saved)

prune70.0ms (0.6%)

Pruning

29 alts after pruning (28 fresh and 1 done)

PrunedKeptTotal
New23828266
Fresh000
Picked011
Done000
Total23829267
Error
0.1b
Counts
267 → 29
Alt Table
Click to see full alt table
StatusErrorProgram
24.3b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
24.3b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
43.7b
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
29.9b
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
38.1b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
24.2b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
23.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
38.2b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
23.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
39.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
50.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
37.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
61.2b
(-.f64 (sin.f64 x) (sin.f64 x))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
37.5b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
31.7b
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
45.2b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
37.6b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
29.4b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
23.9b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
30.1b
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
13.6b
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
29.8b
(*.f64 (cos.f64 x) eps)
51.0b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
37.6b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
37.8b
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
41.4b
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
Compiler

Compiled 809 to 536 computations (33.7% saved)

localize17.0ms (0.2%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
0.1b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1.5b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 42 to 17 computations (59.5% saved)

series11.0ms (0.1%)

Counts
4 → 84
Calls

21 calls:

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

rewrite73.0ms (0.7%)

Algorithm
batch-egg-rewrite
Rules
653×log-prod_binary64
558×fma-def_binary64
365×pow2_binary64
303×fma-neg_binary64
251×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01244
126438
2377438
Stop Event
node limit
Counts
4 → 196
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 eps) (cos.f64 x))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
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x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))

simplify107.0ms (1%)

Algorithm
egg-herbie
Rules
387×fma-neg_binary64
341×times-frac_binary64
300×associate-*l*_binary64
288×associate-*r*_binary64
275×log-prod_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05034895
112864726
244274709
Stop Event
node limit
Counts
280 → 321
Calls
Call 1
Inputs
(*.f64 -1/2 (pow.f64 eps 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(-.f64 (cos.f64 eps) 1)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(-.f64 (cos.f64 eps) 1)
(-.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (cos.f64 eps) -1) 1)
(*.f64 1 (+.f64 (cos.f64 eps) -1))
(*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))
(*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sqrt.f64 (+.f64 (cos.f64 eps) -1)))
(*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (+.f64 (sqrt.f64 (cos.f64 eps)) 1) (-.f64 (sqrt.f64 (cos.f64 eps)) 1))
(/.f64 1 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))))
(/.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))))
(/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps)))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (*.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (+.f64 (cos.f64 eps) 1))
(/.f64 (neg.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (neg.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1)))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2))) (neg.f64 (+.f64 (cos.f64 eps) 1)))
(pow.f64 (+.f64 (cos.f64 eps) -1) 1)
(pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)
(pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)
(pow.f64 (/.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) -1)
(pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (neg.f64 (pow.f64 (sin.f64 eps) 2))) -1)
(sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))
(log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))
(cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))
(expm1.f64 (log.f64 (cos.f64 eps)))
(expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))
(log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (log.f64 (+.f64 (cos.f64 eps) -1)))
(exp.f64 (*.f64 (log.f64 (+.f64 (cos.f64 eps) -1)) 1))
(fma.f64 (cos.f64 eps) 1 -1)
(fma.f64 1 (cos.f64 eps) -1)
(fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)
(fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (+.f64 (pow.f64 (cos.f64 eps) 2) (-.f64 1 (*.f64 (cos.f64 eps) -1))))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (neg.f64 (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
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(fma.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 eps))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
Outputs
(*.f64 -1/2 (pow.f64 eps 2))
(*.f64 -1/2 (*.f64 eps eps))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/2 (pow.f64 eps 2)))
(fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))
(fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/40320 (pow.f64 eps 8)))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8)))))
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(-.f64 (cos.f64 eps) 1)
(+.f64 (cos.f64 eps) -1)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) x) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 3) (+.f64 1/6 (*.f64 (cos.f64 eps) -1/6))))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)))))
(fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (cos.f64 eps) x) x)))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1))))))
(fma.f64 -1/5040 (*.f64 (pow.f64 x 7) (+.f64 (cos.f64 eps) -1)) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (cos.f64 eps) x) x))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (*.f64 (sin.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x)) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/5040 (*.f64 (cos.f64 x) (pow.f64 eps 7)) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/5040 (pow.f64 eps 7)))) (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) eps)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(fma.f64 (*.f64 -1/2 (*.f64 x x)) (sin.f64 eps) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (*.f64 -1/2 (*.f64 eps eps)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
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(fma.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) 1/2 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 eps x))) 1/2 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))) (neg.f64 (sin.f64 x)))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(fma.f64 (*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x))) (*.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (sin.f64 x))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 eps))) (*.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (cos.f64 eps))) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 -1 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize5.0ms (0%)

Local error

Found 1 expressions with local error:

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

Compiled 10 to 4 computations (60% saved)

series3.0ms (0%)

Counts
1 → 8
Calls

6 calls:

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

rewrite36.0ms (0.3%)

Algorithm
batch-egg-rewrite
Rules
462×pow1_binary64
440×add-sqr-sqrt_binary64
435×*-un-lft-identity_binary64
422×add-log-exp_binary64
422×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
056
1976
211466
Stop Event
node limit
Counts
1 → 11
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))))))

simplify39.0ms (0.4%)

Algorithm
egg-herbie
Rules
543×fma-def_binary64
517×log-prod_binary64
371×distribute-rgt-out_binary64
319×distribute-rgt-in_binary64
314×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
049160
1123158
2391154
31983148
45539147
Stop Event
node limit
Counts
19 → 29
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
Outputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps)
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)
(*.f64 eps (fma.f64 -1/2 (*.f64 x x) 1))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24)))
(fma.f64 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) eps))
(fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) eps)
(+.f64 (*.f64 -1/720 (*.f64 eps (pow.f64 x 6))) (+.f64 eps (+.f64 (*.f64 1/24 (*.f64 eps (pow.f64 x 4))) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))))))
(fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) (+.f64 eps (fma.f64 1/24 (*.f64 eps (pow.f64 x 4)) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))))
(+.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (pow.f64 x 4) (*.f64 eps 1/24))) (fma.f64 (*.f64 eps -1/720) (pow.f64 x 6) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 (*.f64 x x) (*.f64 eps -1/2) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) eps)))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) eps))
(*.f64 eps (+.f64 (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (*.f64 (cos.f64 x) eps) 1)
(*.f64 eps (cos.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(*.f64 eps (cos.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) eps)) 3)
(*.f64 eps (cos.f64 x))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(*.f64 eps (cos.f64 x))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(*.f64 eps (cos.f64 x))
(log.f64 (pow.f64 (exp.f64 (cos.f64 x)) eps))
(*.f64 eps (cos.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(*.f64 eps (cos.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))
(exp.f64 (log.f64 (*.f64 (cos.f64 x) eps)))
(*.f64 eps (cos.f64 x))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
0.1b
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
0.1b
(*.f64 eps (sin.f64 x))
0.2b
(*.f64 eps (*.f64 eps (sin.f64 x)))
Compiler

Compiled 39 to 12 computations (69.2% saved)

series37.0ms (0.3%)

Counts
4 → 76
Calls

24 calls:

TimeVariablePointExpression
27.0ms
eps
@0
(*.f64 eps (*.f64 eps (sin.f64 x)))
1.0ms
x
@-inf
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
1.0ms
eps
@-inf
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
1.0ms
eps
@inf
(*.f64 eps (*.f64 eps (sin.f64 x)))
1.0ms
x
@inf
(*.f64 eps (*.f64 eps (sin.f64 x)))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
966×pow1_binary64
885×add-log-exp_binary64
885×log1p-expm1-u_binary64
885×expm1-log1p-u_binary64
866×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01045
120145
2239245
Stop Event
node limit
Counts
4 → 58
Calls
Call 1
Inputs
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 eps (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 eps (cos.f64 x)) 1) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3)) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 eps (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))))

simplify81.0ms (0.7%)

Algorithm
egg-herbie
Rules
827×fma-neg_binary64
746×log-prod_binary64
242×cancel-sign-sub-inv_binary64
235×associate-*r*_binary64
213×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01902011
15081927
222371842
368441842
Stop Event
node limit
Counts
134 → 139
Calls
Call 1
Inputs
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) x)
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) x))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/240 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (+.f64 (*.f64 1/10080 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 eps (sin.f64 x)))) 1)
(pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))) 3)
(pow.f64 (*.f64 eps (sqrt.f64 (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 eps (sin.f64 x))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (*.f64 eps (sin.f64 x)) 3)))
(cbrt.f64 (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(-.f64 (+.f64 1 (*.f64 eps (sin.f64 x))) 1)
(pow.f64 (*.f64 eps (sin.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 eps) (sin.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (sin.f64 x) 3)))
(cbrt.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 eps (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))
(+.f64 (*.f64 (*.f64 eps (cos.f64 x)) 1) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))
(-.f64 (+.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 1)
(*.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)
(*.f64 1 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(*.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2) (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(*.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(/.f64 (+.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3)) (+.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (-.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2)) (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))))
(/.f64 (-.f64 (*.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (cos.f64 x))) (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2))) (-.f64 (*.f64 eps (cos.f64 x)) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)
(pow.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 2))
(log.f64 (exp.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(cbrt.f64 (pow.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(-.f64 (+.f64 1 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)
(pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 1)
(pow.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3)
(pow.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2)
(sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 eps (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
Outputs
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) x)
(*.f64 (*.f64 eps eps) x)
(*.f64 eps (*.f64 eps x))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (*.f64 (pow.f64 eps 2) x))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 (*.f64 eps eps) x))
(fma.f64 (*.f64 eps eps) x (*.f64 (pow.f64 x 3) (*.f64 (*.f64 eps eps) -1/6)))
(*.f64 (*.f64 eps eps) (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x)))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 (*.f64 eps eps) x)))
(fma.f64 -1/6 (*.f64 eps (*.f64 eps (pow.f64 x 3))) (fma.f64 (*.f64 eps eps) x (*.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) 1/120))))
(fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (*.f64 (*.f64 eps eps) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 2) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 2) (pow.f64 x 5))) (*.f64 (pow.f64 eps 2) x))))
(fma.f64 -1/5040 (*.f64 (*.f64 eps eps) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (*.f64 eps eps) (pow.f64 x 3)) (fma.f64 1/120 (*.f64 (*.f64 eps eps) (pow.f64 x 5)) (*.f64 (*.f64 eps eps) x))))
(fma.f64 -1/5040 (*.f64 eps (*.f64 eps (pow.f64 x 7))) (fma.f64 -1/6 (*.f64 eps (*.f64 eps (pow.f64 x 3))) (fma.f64 (*.f64 eps eps) x (*.f64 (pow.f64 x 5) (*.f64 (*.f64 eps eps) 1/120)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 5) 1/120))) (*.f64 (*.f64 eps eps) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 eps x)
(+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 eps x (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))
(fma.f64 eps x (*.f64 (pow.f64 x 3) (*.f64 eps -1/6)))
(*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6)))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (*.f64 -1/6 (*.f64 eps (pow.f64 x 3)))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (*.f64 (pow.f64 x 3) (*.f64 eps -1/6))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (*.f64 eps (+.f64 x (*.f64 (pow.f64 x 3) -1/6))))
(+.f64 (*.f64 1/120 (*.f64 eps (pow.f64 x 5))) (+.f64 (*.f64 eps x) (+.f64 (*.f64 -1/5040 (*.f64 eps (pow.f64 x 7))) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/5040 (*.f64 eps (pow.f64 x 7)) (*.f64 -1/6 (*.f64 eps (pow.f64 x 3))))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (fma.f64 -1/6 (*.f64 eps (pow.f64 x 3)) (*.f64 eps (*.f64 (pow.f64 x 7) -1/5040)))))
(fma.f64 1/120 (*.f64 eps (pow.f64 x 5)) (fma.f64 eps x (*.f64 eps (+.f64 (*.f64 (pow.f64 x 3) -1/6) (*.f64 (pow.f64 x 7) -1/5040)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps)
(fma.f64 (*.f64 (*.f64 eps eps) -1/2) x eps)
(fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps) (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) eps))
(fma.f64 (*.f64 eps (*.f64 eps x)) -1/2 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) eps) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 (*.f64 1/12 (*.f64 eps eps)) (pow.f64 x 3))))
(+.f64 (fma.f64 (*.f64 (*.f64 eps eps) -1/2) x eps) (fma.f64 (*.f64 eps (*.f64 eps (pow.f64 x 3))) 1/12 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(+.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) eps) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/12 (pow.f64 x 3)) (*.f64 -1/2 x))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
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(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(expm1.f64 (log1p.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(log1p.f64 (expm1.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(exp.f64 (log.f64 (fma.f64 eps (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (+.f64 1 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(pow.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3) 1/3)
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(pow.f64 (cbrt.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) 3)
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(pow.f64 (*.f64 (sqrt.f64 -1/2) (*.f64 eps (sqrt.f64 (sin.f64 x)))) 2)
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(sqrt.f64 (*.f64 1/4 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2)))
(sqrt.f64 (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2) 1/4))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2)) 2))
(fabs.f64 (*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(cbrt.f64 (pow.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2)) 3))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(expm1.f64 (log1p.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(log1p.f64 (expm1.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))
(exp.f64 (log.f64 (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) -1/2))
(*.f64 (*.f64 eps eps) (*.f64 (sin.f64 x) -1/2))

localize13.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.3b
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
3.6b
(sin.f64 (+.f64 x eps))
6.0b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
Compiler

Compiled 33 to 8 computations (75.8% saved)

series6.0ms (0.1%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
1.0ms
x
@0
(expm1.f64 (sin.f64 (+.f64 x eps)))
1.0ms
eps
@0
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@0
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
0.0ms
x
@inf
(expm1.f64 (sin.f64 (+.f64 x eps)))
0.0ms
x
@-inf
(expm1.f64 (sin.f64 (+.f64 x eps)))

rewrite67.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
449×log-prod_binary64
388×fma-def_binary64
343×exp-prod_binary64
296×pow-prod-down_binary64
263×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0925
118625
2270725
Stop Event
node limit
Counts
3 → 188
Calls
Call 1
Inputs
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (sin.f64 (+.f64 x eps)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (exp.f64 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) 1) (+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (sin.f64 x)) (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)))))

simplify92.0ms (0.8%)

Algorithm
egg-herbie
Rules
688×fma-neg_binary64
417×cancel-sign-sub-inv_binary64
322×times-frac_binary64
253×fma-def_binary64
248×sqr-pow_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05174100
112703965
238743933
Stop Event
node limit
Counts
260 → 303
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(-.f64 (exp.f64 (sin.f64 x)) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) 1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(-.f64 (exp.f64 (sin.f64 (-.f64 x (*.f64 -1 eps)))) 1)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
(*.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
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(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
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(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
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(exp.f64 (*.f64 (log.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2))
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(fma.f64 (sin.f64 (+.f64 x eps)) 1 (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
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(fma.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
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(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
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(fma.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
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(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
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(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 x eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(fma.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 x eps)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
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(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 0 (sin.f64 (+.f64 x eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (log1p.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3)) (log.f64 (+.f64 1 (-.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) (expm1.f64 (sin.f64 (+.f64 x eps)))))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1)
(-.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 (+.f64 x eps)))) (sin.f64 1)))
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(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(*.f64 1 (sin.f64 (+.f64 x eps)))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
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(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 (+.f64 x eps))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (+.f64 x eps))))) (sqrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 x eps))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) 2))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))) 1/3))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1) 1))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 3) 1/3))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) -1)
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(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))
(-.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(*.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) 1) (+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))
(pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) 1/2)
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1) 1))
(fma.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))) -1)
(fma.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (sin.f64 x)) (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 eps (*.f64 -1 x)))
(sin.f64 (+.f64 eps x))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.f64 (cos.f64 x) eps (sin.f64 x))
(fma.f64 eps (cos.f64 x) (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (fma.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (sin.f64 x) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(sin.f64 (-.f64 x (*.f64 -1 eps)))
(sin.f64 (+.f64 eps x))
(-.f64 (exp.f64 (sin.f64 eps)) 1)
(expm1.f64 (sin.f64 eps))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))) 1)
(+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (expm1.f64 (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (expm1.f64 (sin.f64 eps)))
(fma.f64 (+.f64 (*.f64 (cos.f64 eps) x) 1) (exp.f64 (sin.f64 eps)) -1)
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))) 1)
(+.f64 (fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))) -1)
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)))) (*.f64 (cos.f64 eps) x))) (expm1.f64 (sin.f64 eps)))
(-.f64 (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 eps) 3)) (*.f64 -1/2 (*.f64 (cos.f64 eps) (sin.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))) 1)
(+.f64 (fma.f64 (fma.f64 -1/6 (cos.f64 eps) (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (*.f64 -1/2 (*.f64 (sin.f64 eps) (cos.f64 eps))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (cos.f64 eps) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps))))) -1)
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -1/2))))) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))) (fma.f64 (cos.f64 eps) (*.f64 x (exp.f64 (sin.f64 eps))) (expm1.f64 (sin.f64 eps))))
(+.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 (fma.f64 1/6 (pow.f64 (cos.f64 eps) 3) (*.f64 (sin.f64 eps) (*.f64 (cos.f64 eps) -1/2))))) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (cos.f64 eps) 2)))))) (fma.f64 (+.f64 (*.f64 (cos.f64 eps) x) 1) (exp.f64 (sin.f64 eps)) -1))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 (-.f64 eps (*.f64 -1 x)))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(-.f64 (exp.f64 (sin.f64 x)) 1)
(expm1.f64 (sin.f64 x))
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))))) 1)
(+.f64 (exp.f64 (sin.f64 x)) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) 1))
(+.f64 -1 (*.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x))))
(fma.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x)) -1)
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))))) 1)
(+.f64 (exp.f64 (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))))) 1))
(+.f64 (fma.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))) (*.f64 (*.f64 eps eps) (*.f64 (exp.f64 (sin.f64 x)) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) (expm1.f64 (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (*.f64 eps (cos.f64 x)) 1) (exp.f64 (sin.f64 x))) (fma.f64 (*.f64 eps eps) (*.f64 (exp.f64 (sin.f64 x)) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) -1))
(-.f64 (+.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 1/6 (pow.f64 (cos.f64 x) 3)) (+.f64 (*.f64 -1/2 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 -1/6 (cos.f64 x)))))) (+.f64 (*.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x)))) (*.f64 (pow.f64 eps 2) (*.f64 (exp.f64 (sin.f64 x)) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))))) 1)
(+.f64 (exp.f64 (sin.f64 x)) (-.f64 (fma.f64 (pow.f64 eps 3) (*.f64 (exp.f64 (sin.f64 x)) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (fma.f64 -1/2 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 -1/6 (cos.f64 x))))) (fma.f64 (cos.f64 x) (*.f64 eps (exp.f64 (sin.f64 x))) (*.f64 (*.f64 (*.f64 eps eps) (exp.f64 (sin.f64 x))) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))))) 1))
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(-.f64 (*.f64 (sin.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (cos.f64 (/.f64 (*.f64 x x) (-.f64 x eps))) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x (-.f64 x eps)) x)) (cos.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))) (*.f64 (cos.f64 (*.f64 (/.f64 x (-.f64 x eps)) x)) (sin.f64 (/.f64 (*.f64 eps eps) (-.f64 x eps)))))
(-.f64 (*.f64 (sin.f64 (*.f64 (/.f64 x (-.f64 x eps)) x)) (cos.f64 (*.f64 (/.f64 eps (-.f64 x eps)) eps))) (*.f64 (cos.f64 (*.f64 (/.f64 x (-.f64 x eps)) x)) (sin.f64 (*.f64 (/.f64 eps (-.f64 x eps)) eps))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(-.f64 (log.f64 (-.f64 1 (pow.f64 (expm1.f64 (sin.f64 (+.f64 eps x))) 2))) (log.f64 (-.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x))))))
(-.f64 (log1p.f64 (neg.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 eps x))) 2))) (log1p.f64 (neg.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))
(*.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(*.f64 1 (sin.f64 (+.f64 x eps)))
(sin.f64 (+.f64 eps x))
(*.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2))
(sin.f64 (+.f64 eps x))
(*.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(*.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (-.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (sin.f64 (-.f64 x eps)))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (sin.f64 (-.f64 x eps)))
(pow.f64 (sin.f64 (+.f64 x eps)) 1)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) 1/2)
(sin.f64 (+.f64 eps x))
(pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3)
(sin.f64 (+.f64 eps x))
(pow.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) 2)
(sin.f64 (+.f64 eps x))
(pow.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) 1/3)
(sin.f64 (+.f64 eps x))
(pow.f64 (exp.f64 1) (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (sin.f64 (+.f64 eps x)))) 2)) (cbrt.f64 (log.f64 (sin.f64 (+.f64 eps x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (+.f64 x eps))))) (sqrt.f64 (log.f64 (sin.f64 (+.f64 x eps)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (sin.f64 (+.f64 eps x))))) (sqrt.f64 (log.f64 (sin.f64 (+.f64 eps x)))))
(sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2))
(sin.f64 (+.f64 eps x))
(log.f64 (exp.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3))
(sin.f64 (+.f64 eps x))
(sin.f64 (+.f64 x eps))
(sin.f64 (+.f64 eps x))
(expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (log.f64 (sin.f64 (+.f64 x eps))))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 x eps)))) 3))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (+.f64 x eps)))) 2))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 x eps)))) 1/3))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 1) 1))
(sin.f64 (+.f64 eps x))
(exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 x eps))) 3) 1/3))
(sin.f64 (+.f64 eps x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1 (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) -1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(+.f64 0 (expm1.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))
(+.f64 (*.f64 2 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))) (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 eps x)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 eps x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))))
(*.f64 2 (log.f64 (sqrt.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 eps x)))))))
(-.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(*.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(*.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 3) 1) (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) (+.f64 1 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 3) -1) (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 2) (+.f64 1 (exp.f64 (sin.f64 (+.f64 eps x))))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 3)) (+.f64 1 (+.f64 (exp.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 2))))
(/.f64 (-.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 2) 1) (+.f64 (exp.f64 (sin.f64 (+.f64 x eps))) 1))
(/.f64 (+.f64 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 2) -1) (+.f64 1 (exp.f64 (sin.f64 (+.f64 eps x)))))
(/.f64 (+.f64 -1 (pow.f64 (exp.f64 (sin.f64 (+.f64 eps x))) 2)) (+.f64 1 (exp.f64 (sin.f64 (+.f64 eps x)))))
(pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2) 1/2)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3) 1/3)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 3)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 2)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 1) (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))) 2)) (cbrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 eps x)))))) (sqrt.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))
(sqrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 2))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (exp.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(log.f64 (+.f64 1 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(cbrt.f64 (pow.f64 (expm1.f64 (sin.f64 (+.f64 x eps))) 3))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(log1p.f64 (expm1.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 1/3))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 3))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (expm1.f64 (sin.f64 (+.f64 x eps))))) 2))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(exp.f64 (*.f64 (*.f64 (log.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) 1) 1))
(expm1.f64 (sin.f64 (+.f64 eps x)))
(fma.f64 1 (exp.f64 (sin.f64 (+.f64 x eps))) -1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(fma.f64 (pow.f64 (exp.f64 (cos.f64 eps)) (sin.f64 x)) (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)) -1)
(fma.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) 2) (cbrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)
(expm1.f64 (sin.f64 (+.f64 eps x)))
(fma.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sqrt.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) -1)
(expm1.f64 (sin.f64 (+.f64 eps x)))

localize15.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
4.2b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 44 to 10 computations (77.3% saved)

series9.0ms (0.1%)

Counts
4 → 64
Calls

24 calls:

TimeVariablePointExpression
2.0ms
x
@0
(*.f64 (sin.f64 x) (cos.f64 eps))
1.0ms
x
@inf
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
1.0ms
eps
@inf
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
1.0ms
x
@-inf
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.0ms
eps
@-inf
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

rewrite86.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
664×fma-def_binary64
634×log-prod_binary64
370×fma-neg_binary64
348×pow2_binary64
238×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01150
124740
2365540
Stop Event
node limit
Counts
4 → 258
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 x) (sin.f64 eps))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule 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(-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))))

simplify144.0ms (1.3%)

Algorithm
egg-herbie
Rules
910×fma-neg_binary64
356×fma-def_binary64
307×log-prod_binary64
257×associate-*l*_binary64
239×associate-*r*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
05966951
114816549
250696542
Stop Event
node limit
Counts
322 → 406
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/5040 (*.f64 (pow.f64 eps 7) (cos.f64 x))) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/6 (pow.f64 x 3)) (+.f64 (*.f64 -1 x) (sin.f64 eps))))
(*.f64 -1 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (/.f64 1 (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))
(*.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) (/.f64 1 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3))))
(/.f64 1 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))))
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps))) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2))))
(/.f64 (neg.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x)))) (neg.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 x))))
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(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 eps) x)
(+.f64 (*.f64 (cos.f64 eps) x) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 (cos.f64 eps) x (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) x))
(+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120))))
(+.f64 (*.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7))) (+.f64 (*.f64 (cos.f64 eps) x) (+.f64 (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 1/120 (*.f64 (cos.f64 eps) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (sin.f64 x) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (sin.f64 x) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6))) (sin.f64 x)))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 eps) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (sin.f64 eps))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 x 4) (sin.f64 eps))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 x 6) (sin.f64 eps))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/24 (*.f64 (sin.f64 eps) (pow.f64 x 4)) (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps))))
(+.f64 (fma.f64 -1/720 (*.f64 (sin.f64 eps) (pow.f64 x 6)) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 1/120 (*.f64 (pow.f64 eps 5) (cos.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))))
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(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (fma.f64 (sin.f64 x) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(fma.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 0 (sin.f64 x)) (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (neg.f64 (sin.f64 x))) 2) (cbrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (sqrt.f64 (neg.f64 (sin.f64 x))) (sqrt.f64 (neg.f64 (sin.f64 x))) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (*.f64 0 (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (*.f64 0 (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (sin.f64 x))) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (+.f64 (sin.f64 x) (neg.f64 (sin.f64 x))))
(fma.f64 (fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (cos.f64 x)) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (sin.f64 x))) (*.f64 0 (sin.f64 x)))
(fma.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2)) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x))

eval369.0ms (3.4%)

Compiler

Compiled 26918 to 9127 computations (66.1% saved)

prune377.0ms (3.4%)

Pruning

45 alts after pruning (42 fresh and 3 done)

PrunedKeptTotal
New1256311287
Fresh121123
Picked101
Done235
Total1271451316
Error
0.0b
Counts
1316 → 45
Alt Table
Click to see full alt table
StatusErrorProgram
1.4b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.3b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
17.9b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
34.6b
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
16.4b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
56.7b
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
45.6b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
38.1b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
45.9b
(/.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2) -1/4)) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
45.9b
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
24.2b
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
23.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
23.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
39.0b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
0.3b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
50.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
37.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
61.1b
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
38.6b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
1.4b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
29.4b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
59.0b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1))))
15.2b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
36.7b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
27.6b
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
46.1b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
13.6b
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
29.8b
(*.f64 (cos.f64 x) eps)
29.9b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
51.0b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
53.1b
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
28.5b
(sin.f64 eps)
37.6b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
31.5b
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
51.2b
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
44.2b
eps
Compiler

Compiled 1267 to 871 computations (31.3% saved)

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
1.5b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 34 to 13 computations (61.8% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite49.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
530×log-prod_binary64
504×prod-diff_binary64
332×pow-prod-down_binary64
314×pow2_binary64
231×fma-def_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01119
122819
2292519
Stop Event
node limit
Counts
1 → 30
Calls
Call 1
Inputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1))))))

simplify73.0ms (0.7%)

Algorithm
egg-herbie
Rules
477×fma-def_binary64
281×*-commutative_binary64
263×log-prod_binary64
246×distribute-rgt-in_binary64
241×distribute-lft-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01191175
13131143
210251130
340911100
473511100
Stop Event
node limit
Counts
54 → 71
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 0 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(+.f64 (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1)
(*.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)
(*.f64 1 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2) (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 1)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 2)
(sqrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 (*.f64 eps eps) (*.f64 -1/2 (sin.f64 x)) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (*.f64 (exp.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 1))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
5.9b
(*.f64 eps (*.f64 x x))
Compiler

Compiled 29 to 10 computations (65.5% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite41.0ms (0.4%)

Algorithm
batch-egg-rewrite
Rules
648×pow1_binary64
598×add-log-exp_binary64
598×log1p-expm1-u_binary64
598×expm1-log1p-u_binary64
584×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
114317
2168317
Stop Event
node limit
Counts
2 → 22
Calls
Call 1
Inputs
(*.f64 eps (*.f64 x x))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 x x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 x (sqrt.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sqrt.f64 (*.f64 eps -1/2)) x) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 1/4 (*.f64 (*.f64 eps eps) (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))))))

simplify49.0ms (0.4%)

Algorithm
egg-herbie
Rules
638×fma-def_binary64
574×log-prod_binary64
502×fma-neg_binary64
399×log-div_binary64
395×associate-*l/_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
064595
1162595
2682595
32566595
47129595
Stop Event
node limit
Counts
70 → 26
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (pow.f64 x 2))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1)
(pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 1)
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 3)
(pow.f64 (*.f64 (sqrt.f64 (*.f64 eps -1/2)) x) 2)
(sqrt.f64 (*.f64 1/4 (*.f64 (*.f64 eps eps) (pow.f64 x 4))))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
Outputs
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 eps (pow.f64 x 2))
(*.f64 eps (*.f64 x x))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 x x))) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 eps (*.f64 x x)) 1)
(*.f64 eps (*.f64 x x))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3) 1/3)
(*.f64 eps (*.f64 x x))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 x x))) 3)
(*.f64 eps (*.f64 x x))
(pow.f64 (*.f64 x (sqrt.f64 eps)) 2)
(*.f64 eps (*.f64 x x))
(sqrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 x 4)))
(*.f64 eps (*.f64 x x))
(log.f64 (pow.f64 (exp.f64 eps) (*.f64 x x)))
(*.f64 eps (*.f64 x x))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 x x)) 3))
(*.f64 eps (*.f64 x x))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(exp.f64 (log.f64 (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 x x))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 1)
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(pow.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3) 1/3)
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 3)
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(pow.f64 (*.f64 (sqrt.f64 (*.f64 eps -1/2)) x) 2)
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(sqrt.f64 (*.f64 1/4 (*.f64 (*.f64 eps eps) (pow.f64 x 4))))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(expm1.f64 (log1p.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(*.f64 eps (*.f64 -1/2 (*.f64 x x)))

localize9.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
1.6b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
Compiler

Compiled 25 to 7 computations (72% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite69.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
911×pow1_binary64
847×add-log-exp_binary64
846×log1p-expm1-u_binary64
846×expm1-log1p-u_binary64
97×add-sqr-sqrt_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
0813
117911
2273111
Stop Event
node limit
Counts
1 → 46
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))))

simplify55.0ms (0.5%)

Algorithm
egg-herbie
Rules
747×fma-neg_binary64
533×fma-def_binary64
296×distribute-rgt-in_binary64
290×log-prod_binary64
273×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01521302
14081180
215681147
366091147
Stop Event
node limit
Counts
70 → 88
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 0 (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (/.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 0) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (+.f64 -1 (cos.f64 eps)))
(*.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 1)
(*.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (/.f64 1 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(*.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(*.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(*.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))
(*.f64 (+.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (sin.f64 x))))
(/.f64 1 (/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3))))
(/.f64 1 (/.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)))
(/.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (sin.f64 x) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2)))))
(/.f64 (neg.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2)) (neg.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2) (*.f64 (cos.f64 eps) (pow.f64 (sin.f64 x) 2))))
(/.f64 (-.f64 (pow.f64 (sin.f64 x) 2) (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2)) (-.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))))
(pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 1)
(pow.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(fma.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
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(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(exp.f64 (log.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (cbrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 (sqrt.f64 (sin.f64 x)) (sqrt.f64 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))

localize15.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.5b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 36 to 16 computations (55.6% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite60.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
512×log-prod_binary64
405×exp-prod_binary64
324×pow-prod-down_binary64
323×prod-diff_binary64
298×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01130
122130
2272530
Stop Event
node limit
Counts
2 → 72
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1) 1))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (*.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (*.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 -1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) -1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) -1 (*.f64 (sin.f64 x) (cos.f64 eps)))))))

simplify79.0ms (0.7%)

Algorithm
egg-herbie
Rules
730×fma-neg_binary64
414×unswap-sqr_binary64
360×log-prod_binary64
331×*-commutative_binary64
278×associate-+l+_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02432313
16112247
220672205
364432205
Stop Event
node limit
Counts
120 → 149
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 0 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(*.f64 1 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2)) (cbrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))) (sqrt.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1) 1))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))
(+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))
(+.f64 (*.f64 (sin.f64 x) -1) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1)
(/.f64 (*.f64 (+.f64 -1 (pow.f64 (cos.f64 eps) 3)) (sin.f64 x)) (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (*.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (sin.f64 x)) (+.f64 (cos.f64 eps) 1))
(/.f64 (*.f64 (sin.f64 x) (+.f64 -1 (pow.f64 (cos.f64 eps) 3))) (-.f64 (+.f64 (pow.f64 (cos.f64 eps) 2) 1) (*.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (sin.f64 x) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (+.f64 (cos.f64 eps) 1))
(pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2)
(pow.f64 (exp.f64 1) (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(pow.f64 (exp.f64 (pow.f64 (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2)) (cbrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1) 1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 -1 (sin.f64 x)))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) -1))
(fma.f64 (sin.f64 x) -1 (*.f64 (sin.f64 x) (cos.f64 eps)))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 1/24 (pow.f64 eps 4)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 -1/720 (pow.f64 eps 6)) (*.f64 eps (*.f64 eps -1/2))) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 x (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (*.f64 x (+.f64 (cos.f64 eps) -1)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 5)))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(+.f64 (*.f64 -1/5040 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 7))) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 1/120 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 5))))))
(fma.f64 -1/5040 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 7)) (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 0 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))
(*.f64 3 (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))))))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1)
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2) (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (sqrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (cos.f64 x) (sin.f64 eps))))))
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(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (*.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (-.f64 1 (cos.f64 eps)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2)) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (sqrt.f64 (log.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
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(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 2))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (exp.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(exp.f64 (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
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(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(+.f64 0 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 -1 (sin.f64 x)))
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(+.f64 (*.f64 -1 (sin.f64 x)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 x) -1))
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(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))) (sqrt.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(pow.f64 (exp.f64 (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))) (sqrt.f64 (log.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(sqrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(cbrt.f64 (pow.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)) 3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(expm1.f64 (log1p.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 1/3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 2))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(exp.f64 (*.f64 (*.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 1) 1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 -1 (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 -1 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 x) (cos.f64 eps) (*.f64 (sin.f64 x) -1))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(fma.f64 (sin.f64 x) -1 (*.f64 (sin.f64 x) (cos.f64 eps)))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))

localize43.0ms (0.4%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.1b
(*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
0.2b
(pow.f64 (*.f64 eps (sin.f64 x)) 2)
0.2b
(*.f64 (cos.f64 x) (cos.f64 x))
34.2b
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
Compiler

Compiled 128 to 53 computations (58.6% saved)

series21.0ms (0.2%)

Counts
4 → 84
Calls

21 calls:

TimeVariablePointExpression
5.0ms
x
@-inf
(*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
3.0ms
x
@inf
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
2.0ms
x
@-inf
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
1.0ms
eps
@0
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
1.0ms
eps
@inf
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))

rewrite87.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
343×expm1-udef_binary64
343×log1p-udef_binary64
235×add-sqr-sqrt_binary64
229×pow1_binary64
228×*-un-lft-identity_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
020105
146749
2717249
Stop Event
node limit
Counts
4 → 175
Calls
Call 1
Inputs
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (cos.f64 x) (cos.f64 x))
(pow.f64 (*.f64 eps (sin.f64 x)) 2)
(*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (*.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps eps) (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps 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(sin.f64 x) (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps 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eps -1/2))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2)) (/.f64 1 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 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simplify97.0ms (0.9%)

Algorithm
egg-herbie
Rules
458×log-prod_binary64
436×cube-prod_binary64
332×associate-*r*_binary64
330×associate-*l*_binary64
301×log-div_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04534631
113144096
255704075
Stop Event
node limit
Counts
259 → 243
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 (-.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1))) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/4 (pow.f64 eps 3)))) (pow.f64 x 2))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1 (*.f64 (+.f64 (*.f64 1/4 (pow.f64 eps 2)) (+.f64 (*.f64 -1/12 (pow.f64 eps 2)) (*.f64 1/2 (*.f64 eps (-.f64 (*.f64 -1 (*.f64 (+.f64 1 (*.f64 1/4 (pow.f64 eps 2))) eps)) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/4 (pow.f64 eps 3)))))))) (pow.f64 x 3))) (+.f64 eps (*.f64 (-.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1))) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/4 (pow.f64 eps 3)))) (pow.f64 x 2)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2)))) eps) (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))
1
(+.f64 1 (*.f64 -1 (pow.f64 x 2)))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (*.f64 1/3 (pow.f64 x 4))))
(+.f64 1 (+.f64 (*.f64 -1 (pow.f64 x 2)) (+.f64 (*.f64 -2/45 (pow.f64 x 6)) (*.f64 1/3 (pow.f64 x 4)))))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(pow.f64 (cos.f64 x) 2)
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 x 2))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (pow.f64 eps 2)) (*.f64 1/36 (pow.f64 eps 2))) (pow.f64 x 6)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2))))
(+.f64 (*.f64 -1/3 (*.f64 (pow.f64 eps 2) (pow.f64 x 4))) (+.f64 (*.f64 (+.f64 (*.f64 1/60 (pow.f64 eps 2)) (*.f64 1/36 (pow.f64 eps 2))) (pow.f64 x 6)) (+.f64 (*.f64 (+.f64 (*.f64 -1/2520 (pow.f64 eps 2)) (*.f64 -1/360 (pow.f64 eps 2))) (pow.f64 x 8)) (*.f64 (pow.f64 eps 2) (pow.f64 x 2)))))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (pow.f64 eps 2) (pow.f64 (sin.f64 x) 2))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))) (*.f64 (cos.f64 x) eps))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
eps
(+.f64 eps (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)))
(+.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)) (*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))))
(+.f64 eps (+.f64 (*.f64 1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 (*.f64 -1/2 (*.f64 eps (pow.f64 x 2))) (*.f64 -1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3))))))
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(*.f64 (-.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) 1)
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 eps (*.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (*.f64 eps eps) (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (*.f64 (*.f64 eps eps) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
(*.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1)
(*.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 1 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2))
(*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (*.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(*.f64 (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(*.f64 (sqrt.f64 eps) (sqrt.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2))))
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (neg.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2)) (/.f64 1 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))
(*.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))
(*.f64 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) eps))
(*.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (sqrt.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2)) (sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)))
(*.f64 (/.f64 eps eps) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) eps) (/.f64 (*.f64 eps eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (/.f64 (*.f64 eps eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) eps))
(*.f64 (/.f64 1 eps) (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) eps) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) eps))
(*.f64 (/.f64 eps 1) (/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (*.f64 eps eps) 1) (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (*.f64 eps eps) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) 1) (/.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (*.f64 eps eps) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps eps) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 1 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 eps (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) (/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 (*.f64 eps eps) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
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(*.f64 (/.f64 1 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
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(*.f64 (/.f64 eps (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(*.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (*.f64 eps (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2)) (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (*.f64 eps (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (sqrt.f64 eps)) (sqrt.f64 eps))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 1/2)
(pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(neg.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))
(fabs.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 3) (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 1))
(+.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x))))
(+.f64 1/2 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1))
(+.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 1/2)
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2))) 1)
(/.f64 1 (/.f64 2 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))))
(/.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0)) 2)
(/.f64 (neg.f64 (+.f64 (cos.f64 (+.f64 x x)) (cos.f64 0))) -2)
(/.f64 (+.f64 1/8 (pow.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) 3)) (+.f64 1/4 (-.f64 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x)))) (*.f64 1/2 (*.f64 1/2 (cos.f64 (+.f64 x x)))))))
(/.f64 (-.f64 1/4 (*.f64 (*.f64 1/2 (cos.f64 (+.f64 x x))) (*.f64 1/2 (cos.f64 (+.f64 x x))))) (pow.f64 (sin.f64 x) 2))
(pow.f64 (cos.f64 x) 2)
(pow.f64 (pow.f64 (cos.f64 x) 2) 1)
(pow.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) 3)
(pow.f64 (pow.f64 (cos.f64 x) 6) 1/3)
(sqrt.f64 (pow.f64 (cos.f64 x) 4))
(log.f64 (exp.f64 (pow.f64 (cos.f64 x) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (cos.f64 x) 2))))
(cbrt.f64 (pow.f64 (cos.f64 x) 6))
(expm1.f64 (log1p.f64 (pow.f64 (cos.f64 x) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (cos.f64 x) 2)))
(exp.f64 (*.f64 2 (log.f64 (cos.f64 x))))
(exp.f64 (*.f64 (log.f64 (cos.f64 x)) 2))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (cos.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))) 1)
(*.f64 eps (*.f64 eps (pow.f64 (sin.f64 x) 2)))
(*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 eps eps) (pow.f64 (sin.f64 x) 2))
(*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (*.f64 eps (sin.f64 x)) 2))
(*.f64 (pow.f64 (sin.f64 x) 2) (*.f64 eps eps))
(*.f64 (cbrt.f64 (pow.f64 eps 4)) (*.f64 (pow.f64 (cbrt.f64 eps) 2) (pow.f64 (sin.f64 x) 2)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 4)))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)) (*.f64 (cbrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(*.f64 (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 4)) (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)))
(*.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 (sqrt.f64 (*.f64 eps (sin.f64 x))) (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (sqrt.f64 (*.f64 eps (sin.f64 x)))) (sqrt.f64 (*.f64 eps (sin.f64 x))))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) eps) (sin.f64 x))
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (sin.f64 x)) eps)
(*.f64 (*.f64 (*.f64 eps (sin.f64 x)) (cbrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))) (cbrt.f64 (*.f64 eps (sin.f64 x))))
(sqrt.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2))))
(cbrt.f64 (pow.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 3))
(expm1.f64 (log1p.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (*.f64 eps (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (*.f64 eps (sin.f64 x)))) 1))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) eps))
(+.f64 (*.f64 eps (cos.f64 x)) (*.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(-.f64 (exp.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) 1)
(/.f64 eps (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2))))
(/.f64 eps (/.f64 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(/.f64 (*.f64 eps eps) (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 eps eps)))
(/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 1 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 1 (/.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1))
(/.f64 (cbrt.f64 (pow.f64 eps 4)) (/.f64 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 eps) 2)))
(/.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2) 2) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)))
(/.f64 (neg.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2)) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps)))
(/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(/.f64 (*.f64 eps (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(/.f64 -1 (neg.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (neg.f64 (*.f64 eps eps)) (neg.f64 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (neg.f64 (neg.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))) (neg.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps)) (neg.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps)
(/.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))) (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 1) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) 1) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (pow.f64 (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2)) (cbrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (/.f64 (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps) (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) (sqrt.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (*.f64 (*.f64 eps eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps)
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8)) eps) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 1/2)
(pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1)
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3) 1/3)
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 3)
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(neg.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))
(fabs.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 3) (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3) (pow.f64 eps 3)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 1))
Outputs
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))))
(*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
eps
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) eps)
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 (-.f64 (*.f64 -1 (*.f64 eps (+.f64 (*.f64 1/4 (pow.f64 eps 2)) 1))) (+.f64 (*.f64 -1/2 eps) (*.f64 -1/4 (pow.f64 eps 3)))) (pow.f64 x 2))))
(+.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) eps) (*.f64 (*.f64 x x) (-.f64 (*.f64 (neg.f64 eps) (fma.f64 1/4 (*.f64 eps eps) 1)) (fma.f64 -1/2 eps (*.f64 -1/4 (pow.f64 eps 3))))))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 x x) (neg.f64 (+.f64 (+.f64 eps (*.f64 1/4 (pow.f64 eps 3))) (fma.f64 -1/4 (pow.f64 eps 3) (*.f64 eps -1/2)))) eps))
(fma.f64 -1/2 (*.f64 x (*.f64 eps eps)) (fma.f64 (*.f64 x x) (fma.f64 eps (fma.f64 -1 (fma.f64 (*.f64 eps eps) 1/4 1) 1/2) (neg.f64 (*.f64 -1/4 (pow.f64 eps 3)))) eps))
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(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(/.f64 (*.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8)) eps) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) eps))
(*.f64 (/.f64 eps (fma.f64 (sin.f64 x) (*.f64 (*.f64 eps -1/2) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (pow.f64 (cos.f64 x) 2))) (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/8)))
(/.f64 (*.f64 eps (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8))) (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(/.f64 (-.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) -1/8)) (/.f64 (+.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))))) eps))
(*.f64 (/.f64 eps (fma.f64 (sin.f64 x) (*.f64 (*.f64 eps -1/2) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x))) (pow.f64 (cos.f64 x) 2))) (+.f64 (pow.f64 (cos.f64 x) 3) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 3) 1/8)))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 1/2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 1)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3) 1/3)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 3)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (sqrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(neg.f64 (/.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (neg.f64 eps))))
(*.f64 (neg.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x))))) 2)) (/.f64 1 (*.f64 (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (sin.f64 x)))) (neg.f64 eps))))
(/.f64 (neg.f64 (*.f64 (*.f64 eps eps) (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))) (neg.f64 eps))
(sqrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(fabs.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(log.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) eps))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (/.f64 (pow.f64 (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 2) 3) (pow.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) 3)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 3) (pow.f64 eps 3)))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(expm1.f64 (log1p.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(log1p.f64 (expm1.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(exp.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 1))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(*.f64 eps (fma.f64 -1/2 (*.f64 eps (sin.f64 x)) (cos.f64 x)))

eval318.0ms (2.9%)

Compiler

Compiled 18411 to 8833 computations (52% saved)

prune524.0ms (4.8%)

Pruning

56 alts after pruning (50 fresh and 6 done)

PrunedKeptTotal
New75327780
Fresh142337
Picked101
Done167
Total76956825
Error
0b
Counts
825 → 56
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
27.6b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
0.3b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
61.1b
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
30.0b
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
60.4b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
45.6b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
32.2b
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
38.1b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
59.0b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
45.9b
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
23.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
23.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
0.3b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
59.0b
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
50.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
37.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
38.6b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
59.8b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
1.4b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
59.8b
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
29.4b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
15.2b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
36.7b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
27.6b
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
46.0b
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
46.1b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
30.6b
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
30.1b
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps))
61.2b
(*.f64 (-.f64 (cos.f64 eps) 1) x)
29.9b
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
59.0b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
30.6b
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
45.7b
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
13.6b
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
61.1b
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
29.8b
(*.f64 (cos.f64 x) eps)
51.0b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
59.6b
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
28.5b
(sin.f64 eps)
37.6b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
59.0b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
31.4b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
59.1b
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
59.7b
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
59.0b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
44.2b
eps
Compiler

Compiled 1520 to 1086 computations (28.6% saved)

localize30.0ms (0.3%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.1b
(*.f64 (sin.f64 eps) (cos.f64 x))
1.5b
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
Compiler

Compiled 42 to 10 computations (76.2% saved)

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite59.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
543×log-prod_binary64
426×fma-def_binary64
371×pow-prod-down_binary64
305×pow2_binary64
226×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01134
123722
2329722
Stop Event
node limit
Counts
2 → 108
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
Outputs
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(sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 1/2 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))))

simplify86.0ms (0.8%)

Algorithm
egg-herbie
Rules
561×distribute-rgt-in_binary64
517×distribute-lft-in_binary64
456×unswap-sqr_binary64
267×cancel-sign-sub-inv_binary64
199×distribute-rgt-neg-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
03253268
18233147
227812932
Stop Event
node limit
Counts
156 → 195
Calls
Call 1
Inputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (sin.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(+.f64 0 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (sin.f64 x))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) 1)
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) 0) (sin.f64 x))
(*.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 1)
(*.f64 1 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(*.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(*.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (sin.f64 x) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (-.f64 (pow.f64 (sin.f64 x) 2) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (sin.f64 x) 2)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2) 1/2)
(pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2)
(pow.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3) 1/3)
(sqrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2))
(log.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (exp.f64 (sin.f64 x))))
(log.f64 (/.f64 (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (sin.f64 x)) (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 x))) (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(log1p.f64 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(exp.f64 (log.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 1))
(-.f64 (exp.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(-.f64 (/.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))) (/.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))))
(*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2))))
(*.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3)) (/.f64 1 (fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))))
(*.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))) (/.f64 1 (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))))
(/.f64 1 (/.f64 (fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3)) (fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3)) (+.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (*.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)))
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3))) (neg.f64 (fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2))))
(/.f64 (neg.f64 (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)))) (neg.f64 (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x))))
(/.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))))
(pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (/.f64 (fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (-.f64 eps x)) (sin.f64 x)))) -1)
(sqrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(log.f64 (*.f64 (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (exp.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x)) (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))) (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (exp.f64 (sin.f64 x))))
(log.f64 (*.f64 (exp.f64 (sin.f64 (+.f64 x eps))) (+.f64 1 (expm1.f64 (sin.f64 x)))))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(fma.f64 (cos.f64 eps) (sin.f64 x) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) 1 (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 1 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 1 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 1 (*.f64 (cos.f64 eps) (sin.f64 x)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 1 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) 2) (cbrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (sqrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (sqrt.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x))) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 1/2 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) 2) (cbrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 2) (cbrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(fma.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 (+.f64 x eps))) (sin.f64 x))
(fma.f64 (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (sqrt.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2)) (cbrt.f64 (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (+.f64 (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
Outputs
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3)))
(fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x)))
(+.f64 (*.f64 (-.f64 (*.f64 1/120 (cos.f64 eps)) 1/120) (pow.f64 x 5)) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (*.f64 (pow.f64 x 7) (+.f64 (*.f64 -1/5040 (cos.f64 eps)) 1/5040)))))
(fma.f64 (fma.f64 1/120 (cos.f64 eps) -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 -1/5040 (cos.f64 eps) 1/5040)))))
(fma.f64 (fma.f64 (cos.f64 eps) 1/120 -1/120) (pow.f64 x 5) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (pow.f64 x 7) (fma.f64 (cos.f64 eps) -1/5040 1/5040)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))
(*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4))))
(*.f64 (sin.f64 x) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/24 (*.f64 eps eps)) -1/2)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 (*.f64 1/40320 (*.f64 (pow.f64 eps 8) (sin.f64 x))) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/720 (*.f64 (pow.f64 eps 6) (sin.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/40320 (*.f64 (sin.f64 x) (pow.f64 eps 8)) (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/720 (*.f64 (sin.f64 x) (pow.f64 eps 6)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6)))) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(*.f64 (sin.f64 x) (+.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 -1/720 (pow.f64 eps 6))) (+.f64 (*.f64 1/40320 (pow.f64 eps 8)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
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(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (cbrt.f64 (pow.f64 (cos.f64 x) 2))) (cbrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 x))) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 eps) (cbrt.f64 (cos.f64 x))) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) 1)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)))
(+.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (sin.f64 x)) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 x) (log.f64 (pow.f64 (exp.f64 (sin.f64 eps)) (cos.f64 x))))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (cos.f64 x) (sin.f64 eps) (sin.f64 x)))

localize17.0ms (0.2%)

Local error

Found 2 expressions with local error:

NewErrorProgram
1.5b
(-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1)
5.9b
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
Compiler

Compiled 54 to 30 computations (44.4% saved)

series3.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite92.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
687×prod-diff_binary64
518×fma-def_binary64
452×log-prod_binary64
291×pow-prod-down_binary64
245×pow2_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01020
121920
2292020
Stop Event
node limit
Counts
2 → 171
Calls
Call 1
Inputs
(*.f64 eps (*.f64 (*.f64 x x) -1/2))
(-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 eps (*.f64 (*.f64 x x) -1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 -1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))) (log.f64 (sqrt.f64 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(#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 3) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) -1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 (*.f64 eps eps) (*.f64 1/4 (pow.f64 x 4))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x hypot.f64 (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) (sqrt.f64 (*.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/2 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) eps) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2))) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (/.f64 1 (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) -1) (/.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)) 0)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 1 (*.f64 (*.f64 eps eps) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 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simplify128.0ms (1.2%)

Algorithm
egg-herbie
Rules
791×log-prod_binary64
495×distribute-rgt-in_binary64
471×distribute-lft-in_binary64
399×unswap-sqr_binary64
295×*-commutative_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02164118
15184076
217053504
372013504
Stop Event
node limit
Counts
219 → 128
Calls
Call 1
Inputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
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(fma.f64 (*.f64 (*.f64 x x) -1/2) eps 0)
(fma.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 1 0)
(fma.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 0)
(fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) -1)
(fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 1 -1)
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 (*.f64 x x) -1/2)) 0)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) eps) 0)
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 2) 0)
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 0)
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 (*.f64 x x) -1/2)) 0)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) -1)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) -1)
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) eps) 0)
(fma.f64 (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) 0)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2))) 0)
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (/.f64 1 (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)) -1)
(fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) -1) (/.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)) 0)
(fma.f64 (-.f64 1 (*.f64 (*.f64 eps eps) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 (-.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2)))) -1)
(fma.f64 (*.f64 eps (*.f64 x x)) -1/2 0)
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 1)
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 1)
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) 0)
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2) 1) (fma.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2) -1) 1)
(fma.f64 (*.f64 eps x) (*.f64 x -1/2) 0)
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) 0)
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 0)
(fma.f64 (*.f64 eps (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) 0)
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (cbrt.f64 eps)) 2) (cbrt.f64 eps) 0)
(fma.f64 (*.f64 (*.f64 (*.f64 x x) -1/2) (sqrt.f64 eps)) (sqrt.f64 eps) 0)
Outputs
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(*.f64 -1/2 (*.f64 eps (pow.f64 x 2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 1 (*.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) -1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 0 (*.f64 eps (*.f64 (*.f64 x x) -1/2)))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 -1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x)))) 2)) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))
(*.f64 3 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))
(*.f64 (log.f64 (cbrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 x (*.f64 eps x))))) 3)
(+.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 -1/2) (*.f64 eps (*.f64 x x))))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(-.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
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(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(expm1.f64 (*.f64 (log1p.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(log1p.f64 (expm1.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(exp.f64 (log.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(exp.f64 (*.f64 (log.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 x (*.f64 (*.f64 x -1/2) eps) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 x x) -1/2) eps 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 1 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) -1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 1 -1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (*.f64 (*.f64 x x) -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) -1)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) (*.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) -1)
(fma.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (cbrt.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1)) (cbrt.f64 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) 2)) -1)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) eps) 0)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 eps (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 0)
(*.f64 eps (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 eps (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))))
(fma.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 2) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 2) (cbrt.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (*.f64 (*.f64 x x) -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) -1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) -1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 x (sqrt.f64 -1/2)) (*.f64 (*.f64 x (sqrt.f64 -1/2)) eps) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) (*.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 3) -1) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2))) 0)
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 3) (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2))))
(-.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 3) (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 2))) (/.f64 1 (+.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 2))))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) 3)) (+.f64 1 (*.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 2))))
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (/.f64 1 (fma.f64 (*.f64 eps (*.f64 (*.f64 x x) -1/2)) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)) -1)
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (/.f64 1 (fma.f64 (*.f64 -1/2 (*.f64 eps (*.f64 x x))) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1) 1)) -1)
(fma.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (/.f64 1 (fma.f64 eps (*.f64 x (*.f64 (*.f64 -1/2 x) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1))) 1)) -1)
(+.f64 -1 (/.f64 (fma.f64 (*.f64 (pow.f64 eps 3) (pow.f64 x 6)) -1/8 1) (fma.f64 eps (*.f64 x (*.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) -1) (*.f64 -1/2 x))) 1)))
(fma.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) -1) (/.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)) 0)
(-.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1) 2) (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)) (/.f64 1 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 2)))
(+.f64 (/.f64 (pow.f64 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 1) 2) (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 2)) (/.f64 -1 (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) 2)))
(/.f64 (+.f64 -1 (pow.f64 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 1) 2)) (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) 2))
(fma.f64 (-.f64 1 (*.f64 (*.f64 eps eps) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 (-.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2)))) -1)
(fma.f64 (-.f64 1 (*.f64 (*.f64 eps eps) (*.f64 1/4 (pow.f64 x 4)))) (/.f64 1 (-.f64 1 (*.f64 -1/2 (*.f64 eps (*.f64 x x))))) -1)
(fma.f64 (-.f64 1 (*.f64 1/4 (*.f64 (pow.f64 x 4) (*.f64 eps eps)))) (/.f64 1 (-.f64 1 (*.f64 (*.f64 x x) (*.f64 -1/2 eps)))) -1)
(fma.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 eps (pow.f64 x 4)) -1/4))) (/.f64 -1 (fma.f64 -1/2 (*.f64 x (*.f64 eps x)) -1)) -1)
(fma.f64 (*.f64 eps (*.f64 x x)) -1/2 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (pow.f64 (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 2) (cbrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) -1)) 1)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) (-.f64 (sqrt.f64 (fma.f64 (*.f64 x x) (*.f64 -1/2 eps) 1)) 1) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2) 1) (fma.f64 (*.f64 (sqrt.f64 eps) x) (sqrt.f64 -1/2) -1) 1)
(fma.f64 (fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 -1/2) 1) (fma.f64 (*.f64 x (sqrt.f64 eps)) (sqrt.f64 -1/2) -1) 1)
(fma.f64 (fma.f64 (sqrt.f64 eps) (*.f64 x (sqrt.f64 -1/2)) 1) (fma.f64 (sqrt.f64 eps) (*.f64 x (sqrt.f64 -1/2)) -1) 1)
(fma.f64 (*.f64 eps x) (*.f64 x -1/2) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 eps (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))) (cbrt.f64 (*.f64 (*.f64 x x) -1/2)) 0)
(fma.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (*.f64 eps (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))) 0)
(*.f64 eps (*.f64 (cbrt.f64 (*.f64 1/4 (pow.f64 x 4))) (cbrt.f64 (*.f64 -1/2 (*.f64 x x)))))
(*.f64 (cbrt.f64 (*.f64 -1/2 (*.f64 x x))) (*.f64 eps (cbrt.f64 (*.f64 1/4 (pow.f64 x 4)))))
(fma.f64 (*.f64 eps (*.f64 x (sqrt.f64 -1/2))) (*.f64 x (sqrt.f64 -1/2)) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (pow.f64 (*.f64 (*.f64 x (sqrt.f64 -1/2)) (cbrt.f64 eps)) 2) (cbrt.f64 eps) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))
(fma.f64 (*.f64 (*.f64 (*.f64 x x) -1/2) (sqrt.f64 eps)) (sqrt.f64 eps) 0)
(*.f64 -1/2 (*.f64 eps (*.f64 x x)))
(*.f64 (*.f64 x x) (*.f64 -1/2 eps))
(*.f64 -1/2 (*.f64 x (*.f64 eps x)))

localize13.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.1b
(*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))
1.5b
(+.f64 (cos.f64 eps) -1)
Compiler

Compiled 32 to 15 computations (53.1% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite90.0ms (0.8%)

Algorithm
batch-egg-rewrite
Rules
521×log-prod_binary64
364×pow-prod-down_binary64
360×fma-def_binary64
297×pow2_binary64
208×fma-neg_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01016
121714
2306614
Stop Event
node limit
Counts
1 → 75
Calls
Call 1
Inputs
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (/.f64 1 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (neg.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))) (neg.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (sin.f64 eps) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (exp.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (+.f64 1 (expm1.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3)) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 eps))))))

simplify71.0ms (0.6%)

Algorithm
egg-herbie
Rules
615×fma-def_binary64
544×div-sub_binary64
399×fma-neg_binary64
351×distribute-rgt-in_binary64
331×distribute-lft-in_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
02192078
15812058
216122039
361062039
Stop Event
node limit
Counts
99 → 110
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))) (sin.f64 eps))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 1)
(-.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (/.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(*.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 1)
(*.f64 1 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(*.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2))
(*.f64 (pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2) (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(*.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(*.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (/.f64 1 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(*.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (/.f64 1 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(/.f64 1 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))))
(/.f64 1 (/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(/.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (-.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 (sin.f64 eps) (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))
(/.f64 (neg.f64 (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) (neg.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))) (neg.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2) (pow.f64 (sin.f64 eps) 2)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)))
(pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 1)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 2) 1/2)
(pow.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3) 1/3)
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 3)
(pow.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 2)
(pow.f64 (/.f64 (fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (-.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)) (+.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 3))) -1)
(pow.f64 (/.f64 (-.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (-.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2))) -1)
(sqrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 2))
(log.f64 (exp.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(log.f64 (+.f64 1 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x))))
(log.f64 (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (exp.f64 (sin.f64 eps))))
(log.f64 (*.f64 (pow.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (+.f64 1 (expm1.f64 (sin.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))) (+.f64 1 (expm1.f64 (sin.f64 eps)))))
(cbrt.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3))
(expm1.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(log1p.f64 (expm1.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(exp.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(exp.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 1))
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)) 3)) 1/3))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 3))
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 2))
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 1) 1))
(fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1 (sin.f64 eps))
(fma.f64 1 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (sin.f64 eps))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 eps))
Outputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 eps (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)))))
(+.f64 eps (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.f64 eps (+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(+.f64 eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))))
(+.f64 eps (fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps -1/2)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 -1/6 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 3))) (+.f64 (*.f64 1/120 (*.f64 (-.f64 (cos.f64 eps) 1) (pow.f64 x 5))) (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/6 (*.f64 (pow.f64 x 3) (+.f64 (cos.f64 eps) -1)) (fma.f64 1/120 (*.f64 (pow.f64 x 5) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))))
(+.f64 (fma.f64 (pow.f64 x 5) (fma.f64 (cos.f64 eps) 1/120 -1/120) (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(+.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(-.f64 (exp.f64 (log1p.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))) 1)
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
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(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))) 1) 1))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sin.f64 eps) 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (cos.f64 eps) (sin.f64 x) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 1 (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 1 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 1 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 1 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 x))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cbrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (sin.f64 x))) (sin.f64 eps))
(fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (cbrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) 2)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (cbrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (cos.f64 eps))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (cbrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cbrt.f64 (sin.f64 eps)) (cbrt.f64 (pow.f64 (sin.f64 eps) 2))))
(fma.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (*.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 x)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 x)) (*.f64 (sqrt.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (cos.f64 eps) 2))) (cbrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (cos.f64 eps))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (cos.f64 eps) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (cos.f64 eps))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (cos.f64 eps))) (sqrt.f64 (cos.f64 eps)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (*.f64 (cos.f64 eps) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (cos.f64 eps) (cbrt.f64 (sin.f64 x))) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (cos.f64 eps) (*.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (cbrt.f64 (sin.f64 x))) (-.f64 (sin.f64 eps) (sin.f64 x)))
(fma.f64 (*.f64 (cos.f64 eps) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (fma.f64 (sin.f64 x) -1 (sin.f64 eps)))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)) (*.f64 (sin.f64 x) (cbrt.f64 (+.f64 (cos.f64 eps) -1))) (sin.f64 eps))
(fma.f64 (*.f64 (sin.f64 x) (sqrt.f64 (+.f64 (cos.f64 eps) -1))) (sqrt.f64 (+.f64 (cos.f64 eps) -1)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (sin.f64 eps))
(fma.f64 (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (*.f64 (+.f64 (cos.f64 eps) -1) (cbrt.f64 (sin.f64 x))) (sin.f64 eps))
(fma.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 eps))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (sin.f64 eps))

localize34.0ms (0.3%)

Local error

Found 4 expressions with local error:

NewErrorProgram
0.2b
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
2.6b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
3.6b
(sin.f64 (+.f64 x eps))
Compiler

Compiled 40 to 12 computations (70% saved)

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite63.0ms (0.6%)

Algorithm
batch-egg-rewrite
Rules
504×log-prod_binary64
494×fma-def_binary64
326×pow-prod-down_binary64
302×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123625
2315925
Stop Event
node limit
Counts
2 → 157
Calls
Call 1
Inputs
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))) (/.f64 (pow.f64 (sin.f64 x) 3) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (/.f64 (pow.f64 (sin.f64 x) 2) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (/.f64 1 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (/.f64 1 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/2) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 x eps))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 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(#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 6))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))))))

simplify119.0ms (1.1%)

Algorithm
egg-herbie
Rules
433×associate-+l+_binary64
332×times-frac_binary64
323×associate-/l*_binary64
204×associate-/r*_binary64
188×cancel-sign-sub-inv_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04004198
19664107
232093990
Stop Event
node limit
Counts
205 → 252
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)) 2)
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (*.f64 (neg.f64 (sin.f64 x)) 1))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(+.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 x eps)))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
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(fma.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (sin.f64 x)) 1 (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (sin.f64 x)))
(fma.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))
(+.f64 0 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(+.f64 (*.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(+.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps))) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))
(-.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 1)
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1)
(*.f64 1 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(*.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 4) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 4))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3/2))
(*.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3/2) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 5) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) 2) (pow.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) 2))
(/.f64 (pow.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) 2) (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (*.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (*.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3) (pow.f64 (sin.f64 x) 3))) (fma.f64 (sin.f64 x) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (pow.f64 (sin.f64 (+.f64 x eps)) 2)))
(/.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2) (pow.f64 (sin.f64 x) 2))) (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 4))
(log.f64 (exp.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))
(log.f64 (+.f64 1 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 6))
(expm1.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))
(log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))
(exp.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(fma.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps)))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 (cos.f64 x) eps (fma.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) eps)) (*.f64 (sin.f64 x) (+.f64 (*.f64 -1/2 (*.f64 eps eps)) (*.f64 1/24 (pow.f64 eps 4)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(pow.f64 (sin.f64 eps) 2)
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))
(fma.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) (*.f64 (sin.f64 eps) x) (pow.f64 (sin.f64 eps) 2))
(*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) x)))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 2 (*.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x)) (*.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (*.f64 x (+.f64 (*.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)) x) (*.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) (sin.f64 eps)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (*.f64 (+.f64 (*.f64 2 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (sin.f64 eps))) (*.f64 -1 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))) (pow.f64 x 3)) (+.f64 (*.f64 (+.f64 (pow.f64 (-.f64 (cos.f64 eps) 1) 2) (*.f64 -1 (pow.f64 (sin.f64 eps) 2))) (pow.f64 x 2)) (*.f64 2 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 (sin.f64 eps) x))))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (fma.f64 2 (*.f64 (sin.f64 eps) (fma.f64 -1/6 (cos.f64 eps) 1/6)) (neg.f64 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1)))) (pow.f64 x 3) (fma.f64 (+.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (neg.f64 (pow.f64 (sin.f64 eps) 2))) (*.f64 x x) (*.f64 (*.f64 2 (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) x)))))
(+.f64 (pow.f64 (sin.f64 eps) 2) (fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (+.f64 (*.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6)) (neg.f64 (+.f64 (cos.f64 eps) -1)))) (fma.f64 2 (*.f64 (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x)) (*.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)))))))
(+.f64 (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 (+.f64 (*.f64 (cos.f64 eps) 2) -2) x))) (*.f64 (*.f64 x x) (+.f64 (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)) (*.f64 x (*.f64 (sin.f64 eps) (-.f64 (*.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6)) (+.f64 (cos.f64 eps) -1)))))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)) 2)
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))
(*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))
(*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))
(fma.f64 -1 (*.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (sin.f64 x)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)))
(fma.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 eps 3)) (cos.f64 x)) (sin.f64 x)))
(*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (pow.f64 eps 3) (sin.f64 x))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2))))
(fma.f64 (fma.f64 -1/3 (pow.f64 (cos.f64 x) 2) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4) (fma.f64 -1 (*.f64 (*.f64 (cos.f64 x) (pow.f64 eps 3)) (sin.f64 x)) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (fma.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (neg.f64 (pow.f64 eps 3)) (cos.f64 x)) (sin.f64 x))))
(fma.f64 (pow.f64 eps 4) (fma.f64 (pow.f64 (cos.f64 x) 2) -1/3 (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (*.f64 (cos.f64 x) (-.f64 (*.f64 (*.f64 eps eps) (cos.f64 x)) (*.f64 (pow.f64 eps 3) (sin.f64 x)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/3 (pow.f64 (cos.f64 x) 2)) (*.f64 1/4 (pow.f64 (sin.f64 x) 2))) (pow.f64 eps 4)) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 3) (*.f64 (cos.f64 x) (sin.f64 x)))) (+.f64 (*.f64 (+.f64 (*.f64 1/12 (*.f64 (cos.f64 x) (sin.f64 x))) (*.f64 1/6 (*.f64 (cos.f64 x) (sin.f64 x)))) (pow.f64 eps 5)) (*.f64 (pow.f64 (cos.f64 x) 2) (pow.f64 eps 2)))))
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(exp.f64 (*.f64 (*.f64 2 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(fma.f64 (sin.f64 (+.f64 x eps)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (*.f64 (neg.f64 (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)
(fma.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (sin.f64 (+.f64 x eps)) (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2)

localize16.0ms (0.1%)

Local error

Found 3 expressions with local error:

NewErrorProgram
0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.1b
(*.f64 (cos.f64 x) (sin.f64 eps))
4.2b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 38 to 9 computations (76.3% saved)

series2.0ms (0%)

Counts
1 → 24
Calls

6 calls:

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

rewrite53.0ms (0.5%)

Algorithm
batch-egg-rewrite
Rules
817×prod-diff_binary64
519×log-prod_binary64
339×pow-prod-down_binary64
300×fma-def_binary64
289×pow2_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01021
120821
2274311
Stop Event
node limit
Counts
1 → 32
Calls
Call 1
Inputs
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))))))

simplify63.0ms (0.6%)

Algorithm
egg-herbie
Rules
959×fma-neg_binary64
427×fma-def_binary64
249×log-prod_binary64
231×*-commutative_binary64
213×distribute-rgt-in_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01231065
13121041
2981986
33803952
47086952
Stop Event
node limit
Counts
56 → 72
Calls
Call 1
Inputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 1/24 (*.f64 (pow.f64 eps 4) (sin.f64 x))) (+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 0 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(+.f64 (sin.f64 (+.f64 x eps)) (neg.f64 (sin.f64 x)))
(+.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 1) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(+.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))
(-.f64 (exp.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))) 1)
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(*.f64 1 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(*.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))
(*.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(/.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))
(/.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))) 2)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 1)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1/2)
(pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3) 1/3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(log.f64 (*.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
Outputs
(sin.f64 eps)
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (sin.f64 eps)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3)) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (sin.f64 eps))))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
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(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log.f64 (*.f64 (exp.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x)))))))
(-.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))
(exp.f64 (*.f64 (log.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 1))
(-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))

eval603.0ms (5.5%)

Compiler

Compiled 29595 to 11572 computations (60.9% saved)

prune531.0ms (4.8%)

Pruning

61 alts after pruning (51 fresh and 10 done)

PrunedKeptTotal
New1407101417
Fresh44145
Picked011
Done1910
Total1412611473
Error
0b
Counts
1473 → 61
Alt Table
Click to see full alt table
StatusErrorProgram
0.3b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
27.6b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
0.3b
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
23.9b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
30.0b
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
60.4b
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
45.6b
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
32.2b
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
1.5b
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
38.1b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
40.2b
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
59.0b
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
45.9b
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
23.9b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
23.9b
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
0.3b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
59.0b
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
50.4b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
37.5b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.5b
(-.f64 (sin.f64 eps) (sin.f64 x))
38.6b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
59.8b
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
1.4b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
59.8b
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
29.4b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
0.3b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
15.2b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
36.7b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
39.7b
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
27.6b
(+.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
27.6b
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
46.0b
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
46.1b
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
46.1b
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
30.6b
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
30.1b
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps))
61.2b
(*.f64 (-.f64 (cos.f64 eps) 1) x)
29.9b
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
59.0b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
30.6b
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
45.7b
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
13.6b
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
61.1b
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
39.4b
(*.f64 (cos.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
29.8b
(*.f64 (cos.f64 x) eps)
49.4b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
28.5b
(sin.f64 eps)
37.6b
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
59.0b
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
46.1b
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
31.4b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
49.8b
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
59.7b
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
42.9b
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
59.0b
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
44.2b
eps
Compiler

Compiled 859 to 613 computations (28.6% saved)

regimes216.0ms (2%)

Counts
97 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
(+.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
(-.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(*.f64 (*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))
(*.f64 (/.f64 1 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (*.f64 (/.f64 (pow.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) 2) 1) eps))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (fma.f64 (sin.f64 x) (cos.f64 eps) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (exp.f64 (log.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))) 3))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 3) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (pow.f64 (cos.f64 x) 2) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(/.f64 (*.f64 (*.f64 eps eps) (-.f64 (*.f64 (cos.f64 x) (cos.f64 x)) (*.f64 (pow.f64 (*.f64 eps (sin.f64 x)) 2) 1/4))) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 x) (cos.f64 eps) (fma.f64 (sin.f64 eps) (cos.f64 x) (neg.f64 (sin.f64 x))))
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (log1p.f64 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (log.f64 (pow.f64 (exp.f64 (sin.f64 x)) (+.f64 (cos.f64 eps) -1))))
(pow.f64 (cbrt.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) 3)
(log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 eps) (cos.f64 x))))))
(/.f64 (fma.f64 eps (*.f64 (cos.f64 x) (*.f64 eps (cos.f64 x))) (*.f64 (pow.f64 (*.f64 eps (*.f64 eps (sin.f64 x))) 2) -1/4)) (*.f64 eps (-.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))
(pow.f64 (exp.f64 1) (log.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))))
(-.f64 (log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (sin.f64 x))
(fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(-.f64 (fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 x)) 2) (*.f64 (cbrt.f64 (sin.f64 x)) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (sqrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2)) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 2) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(*.f64 (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (pow.f64 (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))) 2)) (/.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (cbrt.f64 (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))))))
Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
Calls

4 calls:

76.0ms
eps
46.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
41.0ms
x
25.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1268 to 511 computations (59.7% saved)

regimes150.0ms (1.4%)

Counts
63 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
(+.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

48.0ms
x
39.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
28.0ms
eps
18.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 631 to 289 computations (54.2% saved)

regimes117.0ms (1.1%)

Counts
62 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
(+.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
Calls

4 calls:

33.0ms
x
32.0ms
eps
18.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
16.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.3b1x
0.3b1eps
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.3b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 619 to 285 computations (54% saved)

regimes119.0ms (1.1%)

Counts
61 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))) eps)
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(*.f64 (cos.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 2 (sin.f64 (/.f64 (+.f64 eps (+.f64 x x)) 2))))
(*.f64 (sin.f64 (/.f64 (+.f64 eps 0) 2)) (*.f64 (cos.f64 (/.f64 (+.f64 x (+.f64 eps x)) 2)) 2))
(*.f64 (*.f64 eps eps) (/.f64 1 (/.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3))
(sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 2))
(pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) eps)) 2)
(fabs.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (sin.f64 x))
(pow.f64 (pow.f64 (*.f64 (cos.f64 x) eps) 3) 1/3)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(+.f64 (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(+.f64 (/.f64 (+.f64 (sin.f64 (-.f64 x eps)) (sin.f64 (+.f64 x eps))) 2) (neg.f64 (sin.f64 x)))
(pow.f64 (/.f64 (/.f64 1 eps) (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) -1)
(+.f64 (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (sin.f64 x))
(fma.f64 (sin.f64 x) (cos.f64 eps) (sin.f64 x))
(expm1.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(expm1.f64 (log1p.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(log.f64 (exp.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))))
(log1p.f64 (expm1.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (-.f64 (exp.f64 (sin.f64 x)) 1)) (sin.f64 x))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (sin.f64 eps))
(cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 3))
(cbrt.f64 (pow.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(cbrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 3))
(sqrt.f64 (pow.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)) 2))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 3)
(pow.f64 (cbrt.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(pow.f64 (sqrt.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))) 2)
(log.f64 (+.f64 1 (expm1.f64 (+.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (exp.f64 (log1p.f64 (*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1)))) 1)
(+.f64 (sin.f64 eps) (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (neg.f64 (sin.f64 x))))
Outputs
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
Calls

4 calls:

40.0ms
eps
27.0ms
x
18.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
16.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
13.6b1x
13.6b1eps
13.6b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
13.6b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 606 to 280 computations (53.8% saved)

regimes65.0ms (0.6%)

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

3 calls:

23.0ms
x
23.0ms
eps
15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.9b3x
13.3b3eps
13.6b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 130 to 66 computations (49.2% saved)

bsearch86.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
42.0ms
7.778399984445428e-12
1.8166317911444447e-6
45.0ms
-157.00585077093245
-9.944344273262046e-15
Results
36.0ms67×body1024valid
31.0ms192×body256valid
11.0ms39×body512valid
4.0msbody2048valid
Compiler

Compiled 432 to 314 computations (27.3% saved)

regimes60.0ms (0.5%)

Counts
14 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(-.f64 (sin.f64 eps) (sin.f64 x))
(-.f64 (sin.f64 x) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) -1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 (cos.f64 x) eps)
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

3 calls:

21.0ms
eps
20.0ms
x
15.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
14.9b3x
13.4b3eps
13.8b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 108 to 56 computations (48.1% saved)

bsearch89.0ms (0.8%)

Algorithm
binary-search
Steps
TimeLeftRight
46.0ms
7.778399984445428e-12
1.8166317911444447e-6
43.0ms
-157.00585077093245
-9.944344273262046e-15
Results
32.0ms78×body1024valid
27.0ms178×body256valid
15.0ms39×body512valid
10.0msbody2048valid
Compiler

Compiled 299 to 219 computations (26.8% saved)

regimes28.0ms (0.3%)

Counts
7 → 3
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (-.f64 (cos.f64 eps) 1) x)
Outputs
(sin.f64 eps)
(*.f64 (cos.f64 x) eps)
(sin.f64 eps)
Calls

2 calls:

13.0ms
x
13.0ms
eps
Results
ErrorSegmentsBranch
14.9b3x
14.1b3eps
Compiler

Compiled 52 to 31 computations (40.4% saved)

bsearch78.0ms (0.7%)

Algorithm
binary-search
Steps
TimeLeftRight
37.0ms
7.778399984445428e-12
1.8166317911444447e-6
40.0ms
-157.00585077093245
-9.944344273262046e-15
Results
33.0ms198×body256valid
28.0ms66×body1024valid
9.0ms32×body512valid
5.0msbody2048valid
Compiler

Compiled 242 to 181 computations (25.2% saved)

regimes9.0ms (0.1%)

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

2 calls:

4.0ms
x
4.0ms
eps
Results
ErrorSegmentsBranch
28.5b1x
28.5b1eps
Compiler

Compiled 42 to 25 computations (40.5% saved)

regimes9.0ms (0.1%)

Accuracy

Total -2.1b remaining (-4.9%)

Threshold costs -2.1b (-4.9%)

Counts
4 → 1
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/2 (*.f64 eps (*.f64 x x))))
(+.f64 eps (*.f64 (*.f64 eps x) (*.f64 x -1/2)))
(+.f64 eps (-.f64 (+.f64 1 (*.f64 eps (*.f64 (*.f64 x x) -1/2))) 1))
Outputs
eps
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
44.2b1x
44.2b1eps
Compiler

Compiled 40 to 24 computations (40% saved)

simplify9.0ms (0.1%)

Algorithm
egg-herbie
Rules
11×*-commutative_binary64
+-commutative_binary64
sub-neg_binary64
+-rgt-identity_binary64
neg-sub0_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
051189
170189
273189
375189
476189
Stop Event
fuel
saturated
Calls
Call 1
Inputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(if (<=.f64 eps -1080863910568919/72057594037927936) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/4722366482869645213696) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/4722366482869645213696) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 2833419889721787/2361183241434822606848) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (+.f64 (*.f64 eps 1/2) 0))))
(*.f64 (cos.f64 (*.f64 1/2 (+.f64 x (+.f64 eps x)))) (*.f64 2 (sin.f64 (*.f64 eps 1/2))))
(if (<=.f64 eps -1080863910568919/72057594037927936) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/4722366482869645213696) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/4722366482869645213696) (*.f64 (cos.f64 x) eps) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -2582544170319337/73786976294838206464) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 8500259669165361/4722366482869645213696) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -7378697629483821/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 2833419889721787/2361183241434822606848) (*.f64 (cos.f64 x) eps) (sin.f64 eps)))
(if (<=.f64 eps -7378697629483821/295147905179352825856) (sin.f64 eps) (if (<=.f64 eps 2833419889721787/2361183241434822606848) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Compiler

Compiled 140 to 90 computations (35.7% saved)

soundness83.0ms (0.8%)

Algorithm
egg-herbie
Rules
485×fma-neg_binary64
414×distribute-rgt-in_binary64
349×distribute-lft-in_binary64
324×cancel-sign-sub-inv_binary64
290×times-frac_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
04223837
110203685
230093557
Stop Event
node limit
Compiler

Compiled 146 to 98 computations (32.9% saved)

end90.0ms (0.8%)

Compiler

Compiled 124 to 54 computations (56.5% saved)

Profiling

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