Details

Time bar (total: 11.8s)

analyze0.0ms (0%)

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

Compiled 10 to 7 computations (30% saved)

sample4.3s (36.6%)

Results
2.1s3570×body1024valid
1.3s1307×body2048valid
538.0ms1416×body512valid
343.0ms1959×body256valid
7.0ms4×body4096valid

preprocess25.0ms (0.2%)

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

Useful iterations: 0 (0.0ms)

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

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0711
11011
21511
32211
43111
54811
68611
712411
817211
920811
1023411
1123611
Stop Event
1×saturated
Counts
1 → 1
Calls
Call 1
Inputs
(-.f64 (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
37.4b
Counts
2 → 1
Alt Table
Click to see full alt table
StatusErrorProgram
▶37.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 9 to 6 computations (33.3% saved)

localize6.0ms (0.1%)

Local error

Found 4 expressions with local error:

NewErrorProgram
1.8b
(sin.f64 (+.f64 x eps))
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
✓1.8b
(sin.f64 (+.f64 x eps))

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite100.0ms (0.9%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
0717
117317
2273717
Stop Event
1×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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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 (+.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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))

simplify65.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
889×fma-neg_binary64
469×neg-sub0_binary64
426×neg-mul-1_binary64
352×distribute-rgt-neg-in_binary64
315×distribute-rgt-neg-out_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
068580
1191575
2466561
31744560
45095547
Stop Event
1×node limit
Counts
219 → 205
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))
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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (cos.f64 eps) x (sin.f64 eps)))
(fma.f64 (cos.f64 eps) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (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))))
(+.f64 (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x)) (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (cos.f64 eps) (fma.f64 -1/6 (pow.f64 x 3) x) (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) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.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 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(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))
(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 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(+.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 (sin.f64 eps) (*.f64 x x)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps)))
(-.f64 (fma.f64 (cos.f64 eps) x (fma.f64 (*.f64 x x) (*.f64 (sin.f64 eps) -1/2) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
(+.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 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (*.f64 x x) (+.f64 (*.f64 (sin.f64 eps) -1/2) (*.f64 x (fma.f64 (cos.f64 eps) -1/6 1/6))) (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 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.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)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.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 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) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.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))

eval78.0ms (0.7%)

Compiler

Compiled 3627 to 1128 computations (68.9% saved)

prune134.0ms (1.1%)

Pruning

37 alts after pruning (36 fresh and 1 done)

PrunedKeptTotal
New16936205
Fresh000
Picked011
Done000
Total16937206
Error
0.2b
Counts
206 → 37
Alt Table
Click to see full alt table
StatusErrorProgram
21.6b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
▶30.2b
(*.f64 eps (cos.f64 x))
38.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
61.3b
(-.f64 (sin.f64 x) (sin.f64 x))
46.6b
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
37.6b
(*.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
46.6b
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
▶50.5b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
25.4b
(-.f64 (/.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)))))) (sin.f64 x))
22.1b
(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)))
21.6b
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
35.4b
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
22.1b
(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)))
51.0b
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
37.5b
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
38.0b
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
37.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
37.5b
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
32.8b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
38.7b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
✓37.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.4b
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
44.6b
(-.f64 (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))) (sin.f64 x))
41.1b
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
42.0b
(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)))
30.9b
(-.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))
46.7b
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
▶21.6b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
46.6b
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
30.3b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
▶21.6b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
▶46.6b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
38.7b
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
30.7b
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
21.6b
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Compiler

Compiled 1123 to 724 computations (35.5% saved)

localize12.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.0b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
0.0b
(sin.f64 eps)
✓0.0b
(sin.f64 eps)
✓0.1b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
✓0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓2.0b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))

series11.0ms (0.1%)

Counts
4 → 76
Calls

21 calls:

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

rewrite106.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
530×log-prod_binary64
346×pow-prod-down_binary64
346×fma-def_binary64
302×pow2_binary64
210×pow1/3_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01048
121428
2295028
Stop Event
1×node limit
Counts
4 → 193
Calls
Call 1
Inputs
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))
(sin.f64 eps)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (sin.f64 (+.f64 eps x)) (*.f64 (neg.f64 (sin.f64 x)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (-.f64 (sin.f64 (+.f64 eps x)) (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 eps x)) (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 eps x)) (sin.f64 x)) (+.f64 (neg.f64 (sin.f64 x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (neg.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))) (log.f64 (sqrt.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2) (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 eps x) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 eps x) x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) (neg.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) (neg.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (neg.f64 (sin.f64 x)) 3)) (+.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (-.f64 (pow.f64 (neg.f64 (sin.f64 x)) 2) (*.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (neg.f64 (sin.f64 x)) 2)) (-.f64 (sin.f64 (+.f64 eps x)) (neg.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (fma.f64 (sin.f64 x) (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) (pow.f64 (sin.f64 x) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (sin.f64 x) (sin.f64 (+.f64 eps x))) (-.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) (pow.f64 (sin.f64 x) 2))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))) (exp.f64 (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 (exp.f64 (sin.f64 (+.f64 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (*.f64 (sin.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 1) (*.f64 (sin.f64 x) (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 3) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2) (*.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) 2) (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (sin.f64 (-.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 (+.f64 eps x)))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 (+.f64 eps x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 (+.f64 eps x)))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 3) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 eps x))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 eps))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (*.f64 (sin.f64 (exp.f64 (log1p.f64 eps))) (cos.f64 1)) (*.f64 (cos.f64 (exp.f64 (log1p.f64 eps))) (sin.f64 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (sin.f64 eps))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sqrt.f64 (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 (log.f64 (sin.f64 eps)) 1) 1))))))

simplify96.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
608×fma-def_binary64
588×sub-neg_binary64
423×*-commutative_binary64
395×+-commutative_binary64
340×associate-+l+_binary64
Iterations

Useful iterations: 5 (0.0ms)

IterNodesCost
0941266
12701246
27321175
323921163
440611163
552991161
673751161
Stop Event
1×node limit
Counts
269 → 247
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 (*.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 (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 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))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 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))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
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 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (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 (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) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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))))))
(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) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(fma.f64 (cos.f64 x) (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)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 (pow.f64 eps 3) 1/24) (*.f64 eps -1/2)))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (*.f64 eps (+.f64 (*.f64 eps -1/2) (*.f64 (pow.f64 eps 3) 1/24)))))
(-.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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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)))
(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 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(fma.f64 x (cos.f64 eps) (-.f64 (sin.f64 eps) x))
(+.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)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps)))
(-.f64 (fma.f64 x (cos.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps))) x)
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (-.f64 (sin.f64 eps) x))
(+.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 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) (*.f64 (sin.f64 eps) (*.f64 x -1/2))) (-.f64 (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps)) 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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (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 (sin.f64 x) (cos.f64 eps))) (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 (cos.f64 eps) x)
(*.f64 x (cos.f64 eps))
(+.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 x (cos.f64 eps) (*.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3))))
(*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (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)))))
(fma.f64 (cos.f64 eps) x (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (*.f64 1/120 (cos.f64 eps)) (pow.f64 x 5))))
(fma.f64 x (cos.f64 eps) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (*.f64 (cos.f64 eps) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (cos.f64 eps) (*.f64 1/120 (pow.f64 x 5)) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (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))))))
(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 (*.f64 1/120 (cos.f64 eps)) (pow.f64 x 5)))))
(fma.f64 -1/5040 (*.f64 (cos.f64 eps) (pow.f64 x 7)) (fma.f64 x (cos.f64 eps) (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 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (+.f64 (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3))) (+.f64 x (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x))
(*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1))
(+.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 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)))))
(fma.f64 1/24 (*.f64 (sin.f64 x) (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(+.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 -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 (+.f64 (*.f64 1/24 (pow.f64 eps 4)) 1) (sin.f64 x)))
(fma.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6))) (fma.f64 1/24 (pow.f64 eps 4) 1)))
(*.f64 (sin.f64 x) (+.f64 (fma.f64 1/24 (pow.f64 eps 4) 1) (fma.f64 -1/2 (*.f64 eps eps) (*.f64 -1/720 (pow.f64 eps 6)))))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(*.f64 (cos.f64 eps) (sin.f64 x))
(*.f64 (sin.f64 x) (cos.f64 eps))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (sin.f64 x)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) (*.f64 (cos.f64 x) eps))
(+.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) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(fma.f64 x (cos.f64 eps) (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 x (cos.f64 eps) (sin.f64 eps)))
(fma.f64 x (cos.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 (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 x (cos.f64 eps) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5))))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 -1/6 (pow.f64 eps 3)))))

localize4.0ms (0%)

Local error

Found 2 expressions with local error:

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

series46.0ms (0.4%)

Counts
1 → 20
Calls

6 calls:

TimeVariablePointExpression
42.0ms
eps
@inf
(*.f64 eps (cos.f64 x))
2.0ms
x
@inf
(*.f64 eps (cos.f64 x))
1.0ms
eps
@-inf
(*.f64 eps (cos.f64 x))
1.0ms
eps
@0
(*.f64 eps (cos.f64 x))
1.0ms
x
@0
(*.f64 eps (cos.f64 x))

rewrite34.0ms (0.3%)

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

simplify114.0ms (1%)

Algorithm
1×egg-herbie
Rules
523×sqr-pow_binary64
515×distribute-lft-out_binary64
492×distribute-rgt-out_binary64
445×*-commutative_binary64
399×associate-+l+_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
024166
158164
2145160
3445154
41883153
53937153
64192153
74506153
85029153
95784153
106524153
117472153
127900153
Stop Event
1×node limit
Counts
31 → 19
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
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 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
Outputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
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 x (*.f64 x -1/2) 1))
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(+.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 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 1/24 (*.f64 eps (pow.f64 x 4)))))
(fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps))
(fma.f64 eps (fma.f64 x (*.f64 x -1/2) (*.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 1/24 (*.f64 eps (pow.f64 x 4)))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) eps)))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (fma.f64 x (*.f64 x -1/2) (*.f64 1/24 (pow.f64 x 4))) eps))
(*.f64 eps (+.f64 (fma.f64 x (*.f64 x -1/2) (*.f64 1/24 (pow.f64 x 4))) (fma.f64 -1/720 (pow.f64 x 6) 1)))
(*.f64 eps (+.f64 (fma.f64 1/24 (pow.f64 x 4) 1) (fma.f64 x (*.f64 x -1/2) (*.f64 -1/720 (pow.f64 x 6)))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)

localize9.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.8b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
1.8b
(sin.f64 (+.f64 x eps))
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.0b
(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
✓0.0b
(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.8b
(sin.f64 (+.f64 x eps))
✓2.8b
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))

series5.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite90.0ms (0.8%)

Algorithm
1×batch-egg-rewrite
Rules
483×log-prod_binary64
482×fma-def_binary64
309×pow-prod-down_binary64
285×pow2_binary64
220×fma-neg_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0924
119724
2293624
Stop Event
1×node limit
Counts
2 → 186
Calls
Call 1
Inputs
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))
Outputs
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(cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) (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 pow.f64 (pow.f64 (exp.f64 1) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 1) (-.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 pow.f64 (pow.f64 (exp.f64 1) (-.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 pow.f64 (pow.f64 (exp.f64 1) (+.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 pow.f64 (pow.f64 (exp.f64 1) (*.f64 2 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) 1) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (pow.f64 (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))) 2)) (cbrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (exp.f64 2) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))) (sqrt.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.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 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))))))

simplify64.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
677×distribute-rgt-neg-out_binary64
595×fma-def_binary64
563×distribute-lft-neg-out_binary64
492×associate-*r*_binary64
458×associate-*l*_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
099836
1296820
2875789
34661789
Stop Event
1×node limit
Counts
234 → 221
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))
(exp.f64 (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
1
(+.f64 1 (*.f64 (cos.f64 x) eps))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (cos.f64 x) eps)))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.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))))))))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (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)))
(fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (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))))
(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))))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (fma.f64 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.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 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2)) (*.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 eps (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(+.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 eps (*.f64 eps (*.f64 -1/2 (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)))))
(-.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))
(exp.f64 (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))
(*.f64 (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) 1) (exp.f64 (sin.f64 eps)))
(*.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (+.f64 (cos.f64 eps) -1) x 1))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
(fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps))))
(+.f64 (exp.f64 (sin.f64 eps)) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) x) (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))))))
(*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (fma.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (-.f64 (*.f64 (cos.f64 eps) x) x)))
(*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (-.f64 (*.f64 (cos.f64 eps) x) x) (fma.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) (+.f64 1/6 (+.f64 (*.f64 1/6 (pow.f64 (-.f64 (cos.f64 eps) 1) 3)) (*.f64 -1/2 (*.f64 (-.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (+.f64 (*.f64 (+.f64 (*.f64 1/2 (pow.f64 (-.f64 (cos.f64 eps) 1) 2)) (*.f64 -1/2 (sin.f64 eps))) (*.f64 (pow.f64 x 2) (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps)))))
(fma.f64 (+.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (*.f64 -1/2 (*.f64 (sin.f64 eps) (+.f64 (cos.f64 eps) -1))))) (*.f64 (pow.f64 x 3) (exp.f64 (sin.f64 eps))) (fma.f64 (+.f64 (cos.f64 eps) -1) (*.f64 x (exp.f64 (sin.f64 eps))) (fma.f64 (fma.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (*.f64 (sin.f64 eps) -1/2)) (*.f64 (*.f64 x x) (exp.f64 (sin.f64 eps))) (exp.f64 (sin.f64 eps)))))
(+.f64 (*.f64 (+.f64 (*.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2)))) 1) (exp.f64 (sin.f64 eps))) (*.f64 (exp.f64 (sin.f64 eps)) (+.f64 (*.f64 (pow.f64 x 3) (+.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (cos.f64 eps)) 1/2))))) (*.f64 (+.f64 (cos.f64 eps) -1) x))))
(fma.f64 (fma.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1) (exp.f64 (sin.f64 eps)) (*.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (fma.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2) 1/6))) (-.f64 (*.f64 (cos.f64 eps) x) x))))
(fma.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 (fma.f64 1/6 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (fma.f64 (sin.f64 eps) (fma.f64 (cos.f64 eps) -1/2 1/2) 1/6))) (-.f64 (*.f64 (cos.f64 eps) x) x)) (*.f64 (exp.f64 (sin.f64 eps)) (fma.f64 (*.f64 x x) (fma.f64 (sin.f64 eps) -1/2 (*.f64 1/2 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))) 1)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 eps (*.f64 -1 x))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
1
(+.f64 1 (*.f64 (cos.f64 x) eps))
(+.f64 1 (*.f64 eps (cos.f64 x)))
(fma.f64 eps (cos.f64 x) 1)
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (*.f64 (cos.f64 x) eps)))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (*.f64 eps (cos.f64 x))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (fma.f64 eps (cos.f64 x) 1))
(+.f64 (*.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (+.f64 1 (+.f64 (*.f64 (cos.f64 x) eps) (*.f64 (pow.f64 eps 3) (+.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))))))))
(fma.f64 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) (+.f64 1 (fma.f64 (cos.f64 x) eps (*.f64 (pow.f64 eps 3) (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))))))))
(+.f64 (fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 eps 3) (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 (*.f64 eps eps) (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2))) 1))
(fma.f64 eps (*.f64 eps (fma.f64 -1/2 (sin.f64 x) (*.f64 1/2 (pow.f64 (cos.f64 x) 2)))) (fma.f64 eps (cos.f64 x) (fma.f64 (pow.f64 eps 3) (fma.f64 1/6 (pow.f64 (cos.f64 x) 3) (*.f64 (cos.f64 x) (+.f64 (*.f64 -1/2 (sin.f64 x)) -1/6))) 1)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (-.f64 x (*.f64 -1 eps))) (sin.f64 x)))
(exp.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x)))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.2b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
1.8b
(sin.f64 (+.f64 x eps))
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
✓0.2b
(pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)
1.0b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
1.8b
(sin.f64 (+.f64 x eps))
✓2.2b
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))

series6.0ms (0.1%)

Counts
2 → 48
Calls

12 calls:

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

rewrite82.0ms (0.7%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
01025
123625
2314725
Stop Event
1×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 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1/2)))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((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 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.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))))))) (#(struct:change #<rule egg-rr> (2) ((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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 2 (*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 4 (pow.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 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 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 4)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2) (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))) (#(struct:change #<rule egg-rr> (2) ((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))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((x /.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))))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(struct:change #<rule egg-rr> (2) ((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)))))) (#(struct:change #<rule egg-rr> (2) ((x /.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)))))) (#(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 log1p.f64 (expm1.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2)))))) (#(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 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))))))))

simplify55.0ms (0.5%)

Algorithm
1×egg-herbie
Rules
547×distribute-rgt-neg-out_binary64
525×fma-def_binary64
478×associate-*r*_binary64
471×associate-*l*_binary64
466×distribute-lft-neg-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0101901
1292887
2867850
34380847
Stop Event
1×node limit
Counts
205 → 193
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)
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 (sin.f64 eps) (*.f64 x (*.f64 x -1/2)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.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))))
(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))))
(fma.f64 (sin.f64 eps) (*.f64 -1/2 (*.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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))))
(fma.f64 eps (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(+.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)))))
(fma.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 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 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps))) (*.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 -1/2 (*.f64 eps eps)) (*.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 eps (*.f64 eps -1/2)) (*.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 x (fma.f64 (cos.f64 eps) 2 -2))))
(+.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 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x)) (*.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2)))))
(fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2)))))
(+.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 (+.f64 (cos.f64 eps) -1) (*.f64 (sin.f64 eps) x)) (*.f64 (*.f64 x x) (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))))))
(fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (-.f64 (+.f64 (*.f64 (cos.f64 eps) -1/3) 1/3) (+.f64 (cos.f64 eps) -1))) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -2))))))
(fma.f64 (pow.f64 x 3) (*.f64 (sin.f64 eps) (fma.f64 2 (fma.f64 (cos.f64 eps) -1/6 1/6) (-.f64 1 (cos.f64 eps)))) (fma.f64 x (*.f64 x (-.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) (pow.f64 (sin.f64 eps) 2))) (*.f64 (sin.f64 eps) (+.f64 (sin.f64 eps) (*.f64 x (fma.f64 (cos.f64 eps) 2 -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 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 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))) (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)))
(-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3))))
(*.f64 (cos.f64 x) (-.f64 (*.f64 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (pow.f64 eps 3))))
(+.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 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.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))) (-.f64 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(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 (cos.f64 x) (*.f64 eps eps)) (*.f64 (sin.f64 x) (pow.f64 eps 3)))))
(+.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)))))
(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 (pow.f64 eps 3) (*.f64 (sin.f64 x) (cos.f64 x))) (fma.f64 (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) 1/4) (pow.f64 eps 5) (*.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))) (-.f64 (fma.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (*.f64 1/4 (pow.f64 eps 5)))) (*.f64 (sin.f64 x) (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(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 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (+.f64 (neg.f64 (pow.f64 eps 3)) (*.f64 1/4 (pow.f64 eps 5))))))
(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 eps (*.f64 eps (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 (sin.f64 x) (cos.f64 x)) (-.f64 (*.f64 1/4 (pow.f64 eps 5)) (pow.f64 eps 3)))))
(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 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 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 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 eps x)) (sin.f64 x)) 2)

localize13.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.0b
(sin.f64 eps)
✓0.1b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
✓0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓2.0b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))

series7.0ms (0.1%)

Counts
3 → 40
Calls

18 calls:

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

rewrite135.0ms (1.1%)

Algorithm
1×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
01142
124732
2364532
Stop Event
1×node limit
Counts
3 → 238
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(*.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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simplify81.0ms (0.7%)

Algorithm
1×egg-herbie
Rules
549×fma-def_binary64
410×*-commutative_binary64
391×fma-neg_binary64
375×cancel-sign-sub-inv_binary64
347×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
089819
1263798
2721710
32407706
44757706
57928706
Stop Event
1×node limit
Counts
278 → 281
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))
(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))))))
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))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(+.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 (fma.f64 (*.f64 x -1/2) x 1) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(fma.f64 (cos.f64 eps) x (fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 x)))
(+.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 (fma.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x)) (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)))
(+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3)) (fma.f64 (+.f64 (cos.f64 eps) -1) x (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))))
(+.f64 (*.f64 (fma.f64 (cos.f64 eps) -1/6 1/6) (pow.f64 x 3)) (fma.f64 (cos.f64 eps) x (fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1) (neg.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)))
(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)))
(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)))
(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)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (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 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps (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 (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)))))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 (sin.f64 x) (*.f64 -1/2 (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.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 eps (*.f64 eps (sin.f64 x)))) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))))
(fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (sin.f64 x) (+.f64 (*.f64 eps (*.f64 eps -1/2)) (*.f64 1/24 (pow.f64 eps 4)))))
(fma.f64 (cos.f64 x) (fma.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 (+.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)))
(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)))
(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)))
(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)))
(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 (*.f64 -1/2 (*.f64 x x)) 1) (sin.f64 eps))
(*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1))
(*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(+.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 (sin.f64 eps) (+.f64 (fma.f64 (*.f64 x -1/2) x 1) (*.f64 1/24 (pow.f64 x 4))))
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (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))))
(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)))))
(fma.f64 (sin.f64 eps) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6))) (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 -1/2 (*.f64 x x) 1) (fma.f64 1/24 (pow.f64 x 4) (*.f64 -1/720 (pow.f64 x 6)))))
(*.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 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.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 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 1/120 (pow.f64 eps 5))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(+.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 eps (*.f64 1/120 (pow.f64 eps 5)))))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7))) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(*.f64 (cos.f64 x) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/5040 (pow.f64 eps 7) (*.f64 -1/6 (pow.f64 eps 3)))))
(sin.f64 eps)
(+.f64 (*.f64 -1 x) (sin.f64 eps))
(fma.f64 -1 x (sin.f64 eps))
(-.f64 (sin.f64 eps) x)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 -1 x) (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 -1 x (sin.f64 eps)))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (-.f64 (sin.f64 eps) x))
(-.f64 (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)) x)
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 x))
(+.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))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (fma.f64 -1 x (sin.f64 eps))))
(fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (fma.f64 1/6 (pow.f64 x 3) (-.f64 (sin.f64 eps) x)))
(fma.f64 1/6 (pow.f64 x 3) (-.f64 (*.f64 (sin.f64 eps) (fma.f64 (*.f64 x -1/2) x 1)) x))
(fma.f64 1/6 (pow.f64 x 3) (fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1) (neg.f64 x)))
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x))
(*.f64 -1 (sin.f64 x))
(neg.f64 (sin.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1 (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 eps (cos.f64 x)) (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)))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (neg.f64 (sin.f64 x)))
(-.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (sin.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))))))
(fma.f64 (cos.f64 x) eps (fma.f64 1/120 (*.f64 (cos.f64 x) (pow.f64 eps 5)) (fma.f64 -1 (sin.f64 x) (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))))))
(+.f64 (-.f64 (*.f64 -1/6 (*.f64 (cos.f64 x) (pow.f64 eps 3))) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 1/120 (pow.f64 eps 5)))))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 1/120 (pow.f64 eps 5)))) (sin.f64 x))
(-.f64 (*.f64 (cos.f64 x) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (fma.f64 -1/6 (pow.f64 eps 3) eps))) (sin.f64 x))

eval500.0ms (4.2%)

Compiler

Compiled 27866 to 8850 computations (68.2% saved)

prune386.0ms (3.3%)

Pruning

54 alts after pruning (52 fresh and 2 done)

PrunedKeptTotal
New1367461413
Fresh25631
Picked101
Done325
Total1396541450
Error
0.0b
Counts
1450 → 54
Alt Table
Click to see full alt table
StatusErrorProgram
48.9b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
21.6b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
60.2b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
✓30.2b
(*.f64 eps (cos.f64 x))
38.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
36.1b
(fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
21.6b
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
61.3b
(log.f64 1)
60.3b
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
58.9b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
37.6b
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
22.3b
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
36.2b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.5b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
36.2b
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
38.0b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
1.5b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
30.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (sin.f64 x)))
0.9b
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
22.0b
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
32.8b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
16.8b
(fma.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
▶31.8b
(sin.f64 eps)
37.6b
(*.f64 (*.f64 (sin.f64 (*.f64 (+.f64 x (-.f64 eps x)) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2)
37.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
21.6b
(-.f64 (fma.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
▶21.6b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x)))
50.4b
(sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))) 2))
22.9b
(+.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
53.4b
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
▶30.7b
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
50.1b
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
49.2b
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
31.5b
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
38.4b
(*.f64 (pow.f64 (cbrt.f64 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
22.9b
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
21.6b
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
✓37.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
25.1b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)))
30.8b
(log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
38.7b
(+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
30.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x)))
47.0b
(log.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
46.4b
eps
▶0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
46.2b
(log.f64 (exp.f64 (sin.f64 eps)))
30.3b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
▶30.9b
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
1.6b
(fma.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) 2) (cbrt.f64 (*.f64 (sin.f64 eps) (cos.f64 x))) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
51.2b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
38.7b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
Compiler

Compiled 1552 to 1030 computations (33.6% saved)

localize11.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.5b
(+.f64 (cos.f64 eps) -1)
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.1b
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
0.0b
(sin.f64 eps)
0.0b
(sin.f64 eps)
✓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)))
✓2.5b
(+.f64 (cos.f64 eps) -1)

series6.0ms (0.1%)

Counts
3 → 60
Calls

15 calls:

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

rewrite89.0ms (0.8%)

Algorithm
1×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
01136
122136
2272436
Stop Event
1×node limit
Counts
3 → 118
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) -1)
(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
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((#(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 (+.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 (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 (+.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 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(sin.f64 eps)) (+.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))))) (#(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 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 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))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (log.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 exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.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 (fma.f64 (cos.f64 eps) (cos.f64 eps) 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 (fma.f64 (cos.f64 eps) (cos.f64 eps) 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 log1p.f64 (expm1.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))))))) (#(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 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)))))))

simplify74.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
579×fma-neg_binary64
486×fma-def_binary64
462×*-commutative_binary64
453×associate-+l+_binary64
385×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0821018
1227995
2649949
32314936
45433936
57471936
Stop Event
1×node limit
Counts
178 → 162
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 (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))
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)))))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (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 (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 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 eps (cos.f64 x)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x))) (*.f64 eps (cos.f64 x)))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 -1/2 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 -1/2 (*.f64 (*.f64 eps 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 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(fma.f64 (*.f64 -1/2 (*.f64 eps 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 (*.f64 -1/2 (*.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)))))
(fma.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)))))
(fma.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 (cos.f64 x) (sin.f64 eps) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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))
(+.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 (+.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 -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 (+.f64 (cos.f64 eps) -1) x (fma.f64 -1/6 (*.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 (sin.f64 eps) (*.f64 x x)) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (*.f64 (sin.f64 eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps)))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 -1/6 (pow.f64 x 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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x))
(*.f64 -1/2 (*.f64 (*.f64 eps 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 (*.f64 -1/2 (*.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 (*.f64 -1/2 (*.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)))))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 -1/2 (*.f64 eps eps)))))
(*.f64 (sin.f64 x) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (*.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 (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 (*.f64 -1/2 (*.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 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) (*.f64 1/40320 (pow.f64 eps 8))))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (-.f64 (cos.f64 eps) 1) x)
(*.f64 (+.f64 (cos.f64 eps) -1) x)
(-.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 (+.f64 (cos.f64 eps) -1) (pow.f64 x 3)) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(fma.f64 (+.f64 (*.f64 -1/6 (cos.f64 eps)) 1/6) (pow.f64 x 3) (*.f64 (+.f64 (cos.f64 eps) -1) x))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.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 (+.f64 (cos.f64 eps) -1) x (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 (pow.f64 x 3) (fma.f64 (cos.f64 eps) -1/6 1/6) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.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 (+.f64 (cos.f64 eps) -1) x (*.f64 (+.f64 (cos.f64 eps) -1) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 1/120 (pow.f64 x 5))) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (+.f64 (cos.f64 eps) -1) (+.f64 (+.f64 x (*.f64 1/120 (pow.f64 x 5))) (+.f64 (*.f64 -1/5040 (pow.f64 x 7)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (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) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))
(*.f64 (sin.f64 x) (-.f64 (cos.f64 eps) 1))
(*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x))

localize14.0ms (0.1%)

Local error

Found 2 expressions with local error:

NewErrorProgram
0.0b
(sin.f64 eps)
0.0b
(sin.f64 eps)

rewrite0.0ms (0%)

Counts
0 → 0

simplify7.0ms (0.1%)

Algorithm
1×egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
000
Stop Event
1×saturated
Counts
0 → 0
Calls
Call 1
Inputs
Outputs

localize6.0ms (0.1%)

Local error

Found 6 expressions with local error:

NewErrorProgram
0.7b
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
0.6b
(cbrt.f64 (*.f64 eps (cos.f64 x)))
0.1b
(*.f64 eps (cos.f64 x))
0.1b
(*.f64 eps (cos.f64 x))
✓0.6b
(cbrt.f64 (*.f64 eps (cos.f64 x)))
✓0.7b
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)

series22.0ms (0.2%)

Counts
2 → 24
Calls

12 calls:

TimeVariablePointExpression
6.0ms
x
@0
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
4.0ms
eps
@inf
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
3.0ms
x
@inf
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
3.0ms
x
@-inf
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
2.0ms
eps
@-inf
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)

rewrite88.0ms (0.7%)

Algorithm
1×batch-egg-rewrite
Rules
638×pow1_binary64
596×add-log-exp_binary64
596×log1p-expm1-u_binary64
596×expm1-log1p-u_binary64
581×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0814
116614
2166914
Stop Event
1×node limit
Counts
2 → 52
Calls
Call 1
Inputs
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 eps (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) eps)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 eps (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 (cos.f64 x)) (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 2) (*.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) (sqrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) (*.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 2) 3) (cbrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) 3) (pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 eps (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 eps) 2)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) 1) (cbrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (cbrt.f64 eps)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 2)) (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) (pow.f64 (*.f64 eps (cos.f64 x)) 1/6)) (pow.f64 (*.f64 eps (cos.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 2) (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) (pow.f64 (*.f64 eps (cos.f64 x)) 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2) 1/3) (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/3) (pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cos.f64 x)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))))))))

simplify48.0ms (0.4%)

Algorithm
1×egg-herbie
Rules
653×associate-*l*_binary64
651×associate-*r*_binary64
537×fma-def_binary64
403×distribute-rgt-out_binary64
313×distribute-lft-out_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
094500
1297464
2985400
35722385
Stop Event
1×node limit
Counts
76 → 72
Calls
Call 1
Inputs
(*.f64 eps (pow.f64 1 1/3))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(pow.f64 eps 1/3)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
Outputs
(*.f64 eps (pow.f64 1 1/3))
eps
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (*.f64 eps (pow.f64 1 1/3)))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) eps)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (*.f64 eps (pow.f64 1 1/3))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) eps))
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (fma.f64 eps 1/18 (*.f64 eps -1/72))) (pow.f64 x 4) eps))
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) eps))
(+.f64 (*.f64 (+.f64 (*.f64 -1/6 (*.f64 eps (pow.f64 1 1/3))) (*.f64 -1/3 (*.f64 eps (pow.f64 1 1/3)))) (pow.f64 x 2)) (+.f64 (*.f64 (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 1/18 (*.f64 eps (pow.f64 1 1/3))) (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3)))) (pow.f64 x 4)) (+.f64 (*.f64 eps (pow.f64 1 1/3)) (*.f64 (pow.f64 x 6) (+.f64 (*.f64 1/3 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 1 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (+.f64 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (+.f64 (*.f64 -1/9 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)))) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))))))) (*.f64 -1/6 (*.f64 (+.f64 (*.f64 1/36 (pow.f64 (*.f64 (pow.f64 eps 2) 1) 1/3)) (*.f64 2/3 (*.f64 (pow.f64 (/.f64 1 eps) 1/3) (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 (*.f64 eps 1) 1/3))))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (+.f64 (fma.f64 (+.f64 (*.f64 1/3 (*.f64 eps -1/24)) (fma.f64 1/18 eps (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps)))) (pow.f64 x 4) eps) (*.f64 (pow.f64 x 6) (+.f64 (+.f64 (*.f64 1/3 (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24))))) (*.f64 -1/9 (*.f64 eps -1/24))) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/9 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24)))))) (*.f64 -1/6 (*.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))) (*.f64 eps -1/24))) (cbrt.f64 eps))))))))
(fma.f64 (*.f64 eps -1/2) (*.f64 x x) (fma.f64 (fma.f64 1/3 (*.f64 eps -1/24) (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (cbrt.f64 eps) (*.f64 eps 1/18))) (pow.f64 x 4) (fma.f64 (pow.f64 x 6) (fma.f64 1/3 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (fma.f64 (*.f64 eps -1/24) -1/9 (*.f64 (cbrt.f64 eps) (+.f64 (fma.f64 (*.f64 (*.f64 eps -1/24) (cbrt.f64 (/.f64 1 eps))) -1/9 (*.f64 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps))))) (*.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (*.f64 eps -1/24) (*.f64 2/3 (cbrt.f64 (/.f64 1 eps)))))))))) eps)))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (fma.f64 eps 1/18 (*.f64 eps -1/72))) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (fma.f64 -1/6 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 eps 1/216) (*.f64 2/3 (*.f64 eps -23/2160))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(fma.f64 (fma.f64 (fma.f64 1/36 (cbrt.f64 (*.f64 eps eps)) (*.f64 (cbrt.f64 (/.f64 1 eps)) (*.f64 eps -1/36))) (cbrt.f64 eps) (*.f64 eps 1/24)) (pow.f64 x 4) (fma.f64 eps (*.f64 (*.f64 x x) -1/2) (fma.f64 (pow.f64 x 6) (fma.f64 (cbrt.f64 eps) (+.f64 (*.f64 (cbrt.f64 (*.f64 eps eps)) -1/216) (*.f64 (cbrt.f64 (/.f64 1 eps)) (+.f64 (*.f64 eps 1/216) (+.f64 (*.f64 eps 1/216) (*.f64 2/3 (*.f64 eps -23/2160)))))) (fma.f64 1/3 (*.f64 eps -23/2160) (*.f64 eps 1/216))) eps)))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (*.f64 (cos.f64 x) eps) (pow.f64 1 1/3))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(*.f64 (pow.f64 1 1/3) (*.f64 eps (cos.f64 x)))
(*.f64 eps (cos.f64 x))
(pow.f64 eps 1/3)
(cbrt.f64 eps)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 eps) (*.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps))))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (cbrt.f64 eps))
(fma.f64 (cbrt.f64 eps) (*.f64 -1/6 (*.f64 x x)) (cbrt.f64 eps))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4))))))
(+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4)))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/3 (*.f64 (*.f64 eps -1/24) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (*.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)))))
(fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (fma.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (*.f64 (*.f64 eps -1/72) (pow.f64 x 4)) (cbrt.f64 eps)))
(+.f64 (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 -1/720 eps) (+.f64 (*.f64 -1/216 eps) (*.f64 -1/3 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps))))) (pow.f64 x 6)))) (+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 -1/6 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 1/3 (*.f64 (pow.f64 (/.f64 1 (pow.f64 eps 2)) 1/3) (*.f64 (-.f64 (*.f64 1/24 eps) (*.f64 1/12 eps)) (pow.f64 x 4)))))))
(fma.f64 1/3 (*.f64 (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (-.f64 (*.f64 eps -1/720) (fma.f64 -1/216 eps (*.f64 -1/3 (*.f64 eps -1/24))))) (pow.f64 x 6)) (+.f64 (cbrt.f64 eps) (fma.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 (*.f64 1/3 (cbrt.f64 (/.f64 1 (*.f64 eps eps)))) (*.f64 (*.f64 eps -1/24) (pow.f64 x 4))))))
(+.f64 (fma.f64 1/3 (*.f64 (*.f64 eps -1/24) (*.f64 (pow.f64 x 4) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (*.f64 -1/6 (*.f64 (*.f64 x x) (cbrt.f64 eps)))) (fma.f64 1/3 (*.f64 (pow.f64 x 6) (*.f64 (-.f64 (*.f64 eps 7/2160) (*.f64 eps 1/72)) (cbrt.f64 (/.f64 1 (*.f64 eps eps))))) (cbrt.f64 eps)))
(+.f64 (fma.f64 (cbrt.f64 eps) (*.f64 -1/6 (*.f64 x x)) (cbrt.f64 eps)) (*.f64 (cbrt.f64 (/.f64 1 (*.f64 eps eps))) (+.f64 (*.f64 (*.f64 eps -1/72) (pow.f64 x 4)) (*.f64 1/3 (*.f64 (pow.f64 x 6) (*.f64 eps -23/2160))))))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 (cos.f64 x) eps) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))
(pow.f64 (*.f64 eps (cos.f64 x)) 1/3)
(cbrt.f64 (*.f64 eps (cos.f64 x)))

localize25.0ms (0.2%)

Local error

Found 8 expressions with local error:

NewErrorProgram
3.4b
(*.f64 (sin.f64 x) (*.f64 eps eps))
0.2b
(*.f64 -1/6 (pow.f64 eps 3))
0.1b
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
0.0b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
✓0.1b
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
✓0.2b
(*.f64 -1/6 (pow.f64 eps 3))
✓3.4b
(*.f64 (sin.f64 x) (*.f64 eps eps))
✓5.9b
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))

series12.0ms (0.1%)

Counts
4 → 64
Calls

21 calls:

TimeVariablePointExpression
2.0ms
x
@inf
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms
x
@-inf
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms
x
@0
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms
eps
@inf
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
1.0ms
eps
@0
(*.f64 (sin.f64 x) (*.f64 eps eps))

rewrite107.0ms (0.9%)

Algorithm
1×batch-egg-rewrite
Rules
731×log-prod_binary64
415×fma-def_binary64
395×pow2_binary64
277×pow1/3_binary64
270×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01558
132454
2405354
Stop Event
1×node limit
Counts
4 → 131
Calls
Call 1
Inputs
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(*.f64 (sin.f64 x) (*.f64 eps eps))
(*.f64 -1/6 (pow.f64 eps 3))
(*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) 1) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps) (*.f64 eps (cos.f64 x))) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))))) 2)) (log.f64 (cbrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))) (log.f64 (sqrt.f64 (exp.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) 2) (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) (sqrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) 3) (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 3)) (+.f64 (pow.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2) (*.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) 2) (pow.f64 (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) 2)) (-.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (fma.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (pow.f64 (exp.f64 (cos.f64 x)) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (exp.f64 (*.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 eps eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x 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(#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cos.f64 x) (sqrt.f64 eps)) (sqrt.f64 eps) (*.f64 (cos.f64 x) (*.f64 -1/6 (pow.f64 eps 3))))))))

simplify185.0ms (1.6%)

Algorithm
1×egg-herbie
Rules
593×distribute-lft-in_binary64
576×fma-def_binary64
557×distribute-rgt-in_binary64
390×distribute-rgt-out_binary64
369×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
0731200
12111132
26791078
330851051
450271051
565681051
667431051
769681051
871931051
974661051
1078151051
Stop Event
1×node limit
Counts
195 → 168
Calls
Call 1
Inputs
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (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 (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 -1/6 (*.f64 (pow.f64 eps 3) (cos.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 (*.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) 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 -1/6 (*.f64 (pow.f64 eps 3) (cos.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 (*.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) 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 (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 (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 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2)))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (*.f64 -1/720 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 6)))))))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
Outputs
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) eps))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (*.f64 -1/2 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 x x)))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 x x) -1/2)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))))
(+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) x)) (+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (*.f64 1/12 (*.f64 (pow.f64 eps 2) (pow.f64 x 3)))))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 x x)) (*.f64 1/12 (*.f64 (*.f64 eps eps) (pow.f64 x 3)))))))
(+.f64 (fma.f64 -1/2 (*.f64 (*.f64 eps eps) x) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (fma.f64 -1/2 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 x x)) (*.f64 (*.f64 eps eps) (*.f64 (pow.f64 x 3) 1/12))))
(+.f64 (*.f64 (pow.f64 x 3) (*.f64 (*.f64 eps eps) 1/12)) (fma.f64 -1/2 (*.f64 eps (*.f64 eps x)) (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 eps 3) eps))))
(+.f64 (*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 (*.f64 1/12 (*.f64 x x)) -1/2)))
(+.f64 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x)))) (*.f64 (*.f64 eps (*.f64 eps x)) (+.f64 (*.f64 1/12 (*.f64 x x)) -1/2)))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(+.f64 (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 eps (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 eps (+.f64 (*.f64 -1/2 (*.f64 eps (sin.f64 x))) (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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 -1/6 (cos.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))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 -1/6 (cos.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))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x)) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(fma.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 (*.f64 -1/6 (cos.f64 x)) eps)))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (sin.f64 x)) (*.f64 -1/6 (*.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) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 -1/2 (*.f64 (*.f64 eps eps) (sin.f64 x))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps (*.f64 eps -1/2))))
(fma.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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 -1/6 (*.f64 eps (*.f64 eps (pow.f64 x 3))) (*.f64 (*.f64 eps eps) x))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))
(*.f64 (*.f64 eps eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))
(*.f64 eps (*.f64 eps (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (*.f64 eps eps) (*.f64 (pow.f64 x 5) 1/120))))
(fma.f64 eps (*.f64 eps x) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (*.f64 -1/6 (pow.f64 x 3)))))
(*.f64 (*.f64 eps eps) (+.f64 (*.f64 1/120 (pow.f64 x 5)) (+.f64 x (*.f64 -1/6 (pow.f64 x 3)))))
(+.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 (*.f64 eps eps) (*.f64 (pow.f64 x 5) 1/120)))))
(+.f64 (*.f64 (*.f64 eps eps) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7))) (+.f64 x (*.f64 1/120 (pow.f64 x 5)))))
(*.f64 (*.f64 eps eps) (+.f64 (+.f64 x (*.f64 1/120 (pow.f64 x 5))) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) (*.f64 -1/5040 (pow.f64 x 7)))))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(*.f64 (pow.f64 eps 2) (sin.f64 x))
(*.f64 (*.f64 eps eps) (sin.f64 x))
(*.f64 eps (*.f64 eps (sin.f64 x)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (*.f64 -1/2 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 x x))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (*.f64 x x) -1/2))))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(*.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 1 (*.f64 -1/2 (*.f64 x x))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4)) (*.f64 (*.f64 -1/2 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))) (*.f64 x x)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/2 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 x x)) (*.f64 1/24 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (pow.f64 x 4))))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 1 (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (+.f64 1 (*.f64 -1/2 (*.f64 x x))) (*.f64 1/24 (pow.f64 x 4))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 2))) (*.f64 -1/720 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 6)))))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/24 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 x x)) (*.f64 -1/720 (*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (pow.f64 x 6)))))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (fma.f64 1/24 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (pow.f64 x 4)) (fma.f64 -1/2 (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 x x)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (pow.f64 x 6) -1/720)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (fma.f64 -1/6 (pow.f64 eps 3) eps)) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4)))))))
(+.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (+.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))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 -1/6 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x)))
(*.f64 (pow.f64 eps 3) (*.f64 -1/6 (cos.f64 x)))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/6 (*.f64 (pow.f64 eps 3) (cos.f64 x))))
(*.f64 (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (cos.f64 x))
(*.f64 (fma.f64 -1/6 (pow.f64 eps 3) eps) (cos.f64 x))

localize15.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.1b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
0.1b
(*.f64 (sin.f64 x) (cos.f64 eps))
0.1b
(-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x))
0.0b
(sin.f64 eps)
✓0.1b
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓0.3b
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
✓2.0b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x)))

series193.0ms (1.6%)

Counts
3 → 72
Calls

18 calls:

TimeVariablePointExpression
106.0ms
eps
@-inf
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
45.0ms
x
@inf
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
17.0ms
eps
@inf
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
17.0ms
x
@-inf
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
2.0ms
x
@0
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))

rewrite126.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
702×fma-def_binary64
672×log-prod_binary64
396×fma-neg_binary64
252×expm1-udef_binary64
252×log1p-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01339
126729
2385929
Stop Event
1×node limit
Counts
3 → 168
Calls
Call 1
Inputs
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x)))
(log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))
(expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))
Outputs
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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (*.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps))) (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps))))) (log.f64 (cbrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))) (log.f64 (sqrt.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cos.f64 x) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (cos.f64 x))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2) (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cos.f64 x) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (cos.f64 x)) 2)) (cbrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (sin.f64 (-.f64 eps x)) (sin.f64 (+.f64 x eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) 3) 1) (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) (fma.f64 (cos.f64 x) (sin.f64 eps) 1) (+.f64 1 (*.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (fma.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1) (+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) 1))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cos.f64 x)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (*.f64 (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1)) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1))) (cbrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1)) (sqrt.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1)) -1)))))

simplify68.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
843×distribute-rgt-out_binary64
735×fma-def_binary64
641×associate-*l*_binary64
636×associate-*r*_binary64
495×unswap-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01361347
13981330
212431250
358171240
Stop Event
1×node limit
Counts
240 → 214
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))
(log.f64 (+.f64 1 (sin.f64 eps)))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 1 (sin.f64 eps)))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 1 (sin.f64 eps)))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps)))) (pow.f64 x 4)))))
(+.f64 (log.f64 (+.f64 1 (sin.f64 eps))) (+.f64 (*.f64 -1/2 (/.f64 (*.f64 (sin.f64 eps) (pow.f64 x 2)) (+.f64 1 (sin.f64 eps)))) (+.f64 (*.f64 1/720 (*.f64 (+.f64 (*.f64 -30 (/.f64 (pow.f64 (sin.f64 eps) 3) (pow.f64 (+.f64 1 (sin.f64 eps)) 3))) (+.f64 (*.f64 -1 (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps)))) (*.f64 15 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))))) (pow.f64 x 6))) (*.f64 1/24 (*.f64 (+.f64 (*.f64 -3 (/.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (+.f64 1 (sin.f64 eps)) 2))) (/.f64 (sin.f64 eps) (+.f64 1 (sin.f64 eps)))) (pow.f64 x 4))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(*.f64 (cos.f64 x) eps)
(+.f64 (*.f64 (cos.f64 x) eps) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (cos.f64 x)))))))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (cos.f64 x))))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (*.f64 4 (pow.f64 (cos.f64 x) 2))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(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 -1/6 (*.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))
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 (*.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1)))
(+.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))))
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(fma.f64 (cos.f64 x) eps (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (pow.f64 (cos.f64 x) 2)))
(fma.f64 eps (cos.f64 x) (*.f64 (pow.f64 (cos.f64 x) 2) (*.f64 -1/2 (*.f64 eps eps))))
(*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) eps))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (cos.f64 x)))))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (*.f64 1/6 (pow.f64 eps 3)) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (neg.f64 (cos.f64 x))))))
(fma.f64 eps (cos.f64 x) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (*.f64 (pow.f64 eps 3) (*.f64 (-.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (cos.f64 x)) 1/6))))
(fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (cos.f64 x))) (*.f64 (cos.f64 x) (+.f64 (*.f64 (cos.f64 x) (*.f64 -1/2 (*.f64 eps eps))) eps)))
(+.f64 (*.f64 (cos.f64 x) eps) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (pow.f64 (cos.f64 x) 2))) (+.f64 (*.f64 1/6 (*.f64 (pow.f64 eps 3) (+.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (*.f64 -1 (cos.f64 x))))) (*.f64 1/24 (*.f64 (pow.f64 eps 4) (+.f64 (*.f64 -6 (pow.f64 (cos.f64 x) 4)) (*.f64 4 (pow.f64 (cos.f64 x) 2))))))))
(fma.f64 (cos.f64 x) eps (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (fma.f64 2 (pow.f64 (cos.f64 x) 3) (neg.f64 (cos.f64 x)))) (*.f64 (*.f64 1/24 (pow.f64 eps 4)) (fma.f64 -6 (pow.f64 (cos.f64 x) 4) (*.f64 4 (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 eps (cos.f64 x) (fma.f64 -1/2 (*.f64 (*.f64 eps eps) (pow.f64 (cos.f64 x) 2)) (fma.f64 1/6 (*.f64 (pow.f64 eps 3) (-.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (cos.f64 x))) (*.f64 (fma.f64 4 (pow.f64 (cos.f64 x) 2) (*.f64 -6 (pow.f64 (cos.f64 x) 4))) (*.f64 1/24 (pow.f64 eps 4))))))
(fma.f64 eps (cos.f64 x) (fma.f64 (pow.f64 eps 3) (*.f64 1/6 (-.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (cos.f64 x))) (fma.f64 (fma.f64 4 (pow.f64 (cos.f64 x) 2) (*.f64 -6 (pow.f64 (cos.f64 x) 4))) (*.f64 1/24 (pow.f64 eps 4)) (*.f64 eps (*.f64 eps (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)))))))
(fma.f64 eps (cos.f64 x) (fma.f64 1/24 (*.f64 (pow.f64 eps 4) (fma.f64 4 (pow.f64 (cos.f64 x) 2) (*.f64 -6 (pow.f64 (cos.f64 x) 4)))) (*.f64 (*.f64 eps eps) (+.f64 (*.f64 -1/2 (pow.f64 (cos.f64 x) 2)) (*.f64 1/6 (*.f64 eps (-.f64 (*.f64 2 (pow.f64 (cos.f64 x) 3)) (cos.f64 x))))))))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) (sin.f64 eps))))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.f64 x)))
(log.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 1))
(log1p.f64 (*.f64 (sin.f64 eps) (cos.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 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) 1))
(+.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 (sin.f64 eps) (+.f64 (*.f64 x (*.f64 x -1/2)) (fma.f64 1/24 (pow.f64 x 4) 1)))
(+.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 (*.f64 (+.f64 (*.f64 (pow.f64 x 6) -1/720) 1) (sin.f64 eps)) (*.f64 (sin.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(fma.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x x) (*.f64 1/24 (pow.f64 x 4))) (*.f64 (sin.f64 eps) (fma.f64 (pow.f64 x 6) -1/720 1)))
(*.f64 (sin.f64 eps) (+.f64 (fma.f64 1/24 (pow.f64 x 4) (*.f64 (pow.f64 x 6) -1/720)) (fma.f64 -1/2 (*.f64 x x) 1)))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.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 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps))
(+.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 (cos.f64 x) (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(+.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) (+.f64 (fma.f64 1/120 (pow.f64 eps 5) eps) (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 -1/5040 (pow.f64 eps 7)))))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))
(*.f64 (cos.f64 x) (sin.f64 eps))
(*.f64 (sin.f64 eps) (cos.f64 x))

eval607.0ms (5.1%)

Compiler

Compiled 14857 to 6496 computations (56.3% saved)

prune181.0ms (1.5%)

Pruning

67 alts after pruning (61 fresh and 6 done)

PrunedKeptTotal
New69537732
Fresh232447
Picked101
Done066
Total71967786
Error
0.0b
Counts
786 → 67
Alt Table
Click to see full alt table
StatusErrorProgram
0.4b
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
48.9b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
▶21.6b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
60.2b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
✓30.2b
(*.f64 eps (cos.f64 x))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
38.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
35.0b
(exp.f64 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
1.5b
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
60.3b
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
21.6b
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
30.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1) (sin.f64 x)))
▶61.3b
(log.f64 1)
58.9b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
31.8b
(expm1.f64 (log1p.f64 (sin.f64 eps)))
0.5b
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
37.6b
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
32.8b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
38.0b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
36.2b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.5b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
20.0b
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
32.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
16.8b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
38.6b
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
▶0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x)))
✓31.8b
(sin.f64 eps)
38.7b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
30.1b
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
47.0b
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
49.7b
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
37.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
31.6b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
30.8b
(log.f64 (exp.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
27.5b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
22.9b
(+.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
17.3b
(fma.f64 (sin.f64 eps) (cos.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))))))
53.4b
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
✓30.7b
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
50.1b
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
21.6b
(-.f64 (+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x))) (sin.f64 x))
✓37.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
38.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
▶39.8b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
37.6b
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
56.8b
(pow.f64 (pow.f64 eps 1/3) 3)
47.0b
(log.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
46.4b
eps
47.0b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
31.0b
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
31.4b
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
49.2b
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
✓0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
1.6b
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (sin.f64 x)))
46.2b
(log.f64 (exp.f64 (sin.f64 eps)))
30.3b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
✓30.9b
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
46.7b
(pow.f64 (cbrt.f64 eps) 3)
46.2b
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
35.2b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1/3))
41.2b
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)
46.2b
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
▶30.9b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
Compiler

Compiled 1621 to 1174 computations (27.6% saved)

localize17.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.2b
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x)))
0.1b
(/.f64 1 (+.f64 (cos.f64 eps) 1))
0.0b
(sin.f64 eps)
✓0.2b
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
✓0.2b
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
✓0.3b
(pow.f64 (sin.f64 eps) 2)
✓0.3b
(+.f64 (cos.f64 eps) 1)

series27.0ms (0.2%)

Counts
4 → 52
Calls

15 calls:

TimeVariablePointExpression
16.0ms
x
@inf
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
1.0ms
x
@-inf
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
1.0ms
x
@0
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
1.0ms
eps
@inf
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
1.0ms
eps
@0
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))

rewrite69.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
619×log-prod_binary64
316×pow2_binary64
292×pow-unpow_binary64
223×pow1/3_binary64
219×expm1-udef_binary64
Iterations

Useful iterations: 1 (0.0ms)

IterNodesCost
01449
129729
2378629
Stop Event
1×node limit
Counts
4 → 181
Calls
Call 1
Inputs
(+.f64 (cos.f64 eps) 1)
(pow.f64 (sin.f64 eps) 2)
(*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1)))
(*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (+.f64 (cos.f64 eps) 1))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) -1)) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 1 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1)) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (neg.f64 (cbrt.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (/.f64 1 (+.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 1 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (cos.f64 eps) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2)) (cbrt.f64 (/.f64 1 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) (pow.f64 (+.f64 (cos.f64 eps) 1) -1/2))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (-.f64 (pow.f64 (cos.f64 eps) 2) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (neg.f64 (+.f64 1 (pow.f64 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egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) -1/2) -2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (cos.f64 eps) 2)) (+.f64 1 (pow.f64 (cos.f64 eps) 3))) -1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 eps) -1) (pow.f64 (sin.f64 eps) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) 1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) 1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 1) 1)))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (pow.f64 (cos.f64 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2))) 2)) (log.f64 (cbrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))) (log.f64 (sqrt.f64 (exp.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (pow.f64 (cos.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (pow.f64 (cos.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1/2 (*.f64 1/2 (cos.f64 (*.f64 2 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (+.f64 (cos.f64 eps) 1) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (neg.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 4))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (*.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 1))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 -1 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (sin.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (neg.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (sin.f64 eps) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (sin.f64 eps)) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 -1 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule 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(pow.f64 (sin.f64 eps) 2))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 2 (log.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (*.f64 2 (log.f64 (sin.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (pow.f64 (cos.f64 eps) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) (cos.f64 eps)) -1)))) (#(struct:change 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((#(struct:change #<rule egg-rr> (2) ((x +.f64 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (neg.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 1 (*.f64 (neg.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1))) 2)) (log.f64 (cbrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))) (log.f64 (sqrt.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (cos.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 1 (cos.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 0 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (/.f64 0 (+.f64 (cos.f64 eps) 1)) (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 1 (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (sin.f64 eps) (/.f64 (+.f64 (cos.f64 eps) 1) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 4) (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 -1 (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (+.f64 (cos.f64 eps) 1))) (sqrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) 1) (+.f64 (cos.f64 eps) 1))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) 2))) (cbrt.f64 (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (cos.f64 eps) 3) 1) (+.f64 (pow.f64 (cos.f64 eps) 2) (+.f64 (cos.f64 eps) 1)))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 1 (pow.f64 (cos.f64 eps) 3)) (+.f64 1 (fma.f64 (cos.f64 eps) (cos.f64 eps) (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (+.f64 (cos.f64 eps) -1) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (+.f64 (cos.f64 eps) -1)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) -1)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (+.f64 (cos.f64 eps) 1) -3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) -3) (pow.f64 (sin.f64 eps) 6)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (/.f64 (+.f64 (cos.f64 eps) 1) (pow.f64 (sin.f64 eps) 2)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x neg.f64 (+.f64 (cos.f64 eps) -1))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (/.f64 1 (+.f64 1 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (/.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (+.f64 (cos.f64 eps) 1) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (sin.f64 eps) 6) (pow.f64 (+.f64 (cos.f64 eps) 1) -3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) 1) -3) (pow.f64 (sin.f64 eps) 6)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (+.f64 (cos.f64 eps) -1)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log.f64 (cos.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (*.f64 (log.f64 (cos.f64 eps)) 1))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log1p.f64 (neg.f64 (cos.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log1p.f64 (neg.f64 (cos.f64 eps))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cos.f64 eps) 1 -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 1 (cos.f64 eps) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (cbrt.f64 (cos.f64 eps)) (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (cbrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (pow.f64 (cbrt.f64 (cos.f64 eps)) 2) (*.f64 (cbrt.f64 (cos.f64 eps)) 1) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (sqrt.f64 (cos.f64 eps)) -1)))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) 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 (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)))))))) (#(struct:change #<rule egg-rr> (2) ((x +.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)))))))) (#(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 (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) (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 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3) (pow.f64 (sin.f64 x) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (pow.f64 (sin.f64 x) 3) (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x neg.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 (sin.f64 x)) (+.f64 (cos.f64 eps) -1)))))) (#(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 log.f64 (/.f64 1 (+.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 cbrt.f64 (*.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 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 (+.f64 (cos.f64 eps) -1) 3)))))) (#(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 expm1.f64 (log1p.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))))))

simplify102.0ms (0.9%)

Algorithm
1×egg-herbie
Rules
802×fma-neg_binary64
517×distribute-rgt-in_binary64
495×fma-def_binary64
320×associate-*r*_binary64
299×associate-*l*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
01141126
13121081
29471032
34027868
Stop Event
1×node limit
Counts
233 → 225
Calls
Call 1
Inputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(*.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 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))))
(*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))
(+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x)))))
(+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))))) (pow.f64 eps 6))) (+.f64 (*.f64 -1 (*.f64 (-.f64 (*.f64 -1/630 (sin.f64 x)) (+.f64 (*.f64 1/48 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x)))) (+.f64 (*.f64 -1/4 (-.f64 (*.f64 1/45 (sin.f64 x)) (+.f64 (*.f64 1/96 (sin.f64 x)) (*.f64 -1/4 (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))))) (*.f64 -1/2880 (sin.f64 x))))) (pow.f64 eps 8))) (+.f64 (*.f64 -1 (*.f64 (pow.f64 eps 4) (-.f64 (*.f64 -1/6 (sin.f64 x)) (*.f64 -1/8 (sin.f64 x))))) (*.f64 -1/2 (*.f64 (pow.f64 eps 2) (sin.f64 x))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps))))
(+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps))))))
(+.f64 (*.f64 -1/120 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 5)) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 -1 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) x) (+.f64 1 (cos.f64 eps)))) (+.f64 (*.f64 1/5040 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 7)) (+.f64 1 (cos.f64 eps)))) (*.f64 1/6 (/.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 x 3)) (+.f64 1 (cos.f64 eps)))))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
Outputs
2
(+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2)
(fma.f64 -1/2 (*.f64 eps eps) 2)
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) 2))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) 2))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) 2))
(+.f64 (*.f64 1/24 (pow.f64 eps 4)) (+.f64 (*.f64 -1/2 (pow.f64 eps 2)) (+.f64 2 (*.f64 -1/720 (pow.f64 eps 6)))))
(fma.f64 1/24 (pow.f64 eps 4) (+.f64 (fma.f64 -1/2 (*.f64 eps eps) 2) (*.f64 -1/720 (pow.f64 eps 6))))
(fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/2 (*.f64 eps eps) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(fma.f64 -1/2 (*.f64 eps eps) (fma.f64 1/24 (pow.f64 eps 4) (fma.f64 -1/720 (pow.f64 eps 6) 2)))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(+.f64 1 (cos.f64 eps))
(pow.f64 eps 2)
(*.f64 eps eps)
(+.f64 (pow.f64 eps 2) (*.f64 -1/3 (pow.f64 eps 4)))
(+.f64 (*.f64 eps eps) (*.f64 (pow.f64 eps 4) -1/3))
(fma.f64 eps eps (*.f64 (pow.f64 eps 4) -1/3))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45)))
(fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 eps eps (*.f64 (pow.f64 eps 6) 2/45)))
(+.f64 (pow.f64 eps 2) (+.f64 (*.f64 -1/315 (pow.f64 eps 8)) (+.f64 (*.f64 -1/3 (pow.f64 eps 4)) (*.f64 2/45 (pow.f64 eps 6)))))
(+.f64 (*.f64 eps eps) (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 -1/3 (pow.f64 eps 4) (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 -1/315 (pow.f64 eps 8) (fma.f64 (pow.f64 eps 4) -1/3 (*.f64 (pow.f64 eps 6) 2/45))))
(fma.f64 eps eps (fma.f64 (pow.f64 eps 4) -1/3 (fma.f64 (pow.f64 eps 6) 2/45 (*.f64 -1/315 (pow.f64 eps 8)))))
(*.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)))
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(fma.f64 -1/120 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 x 5))) (fma.f64 -1 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) x)) (fma.f64 1/5040 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 x 7))) (*.f64 1/6 (/.f64 (pow.f64 (sin.f64 eps) 2) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 x 3)))))))
(fma.f64 -1/120 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (pow.f64 x 5)) (-.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (pow.f64 x 3)) (*.f64 1/5040 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (pow.f64 x 7)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) x)))
(fma.f64 -1/120 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (pow.f64 x 5)) (-.f64 (fma.f64 1/6 (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (pow.f64 x 3)) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) (*.f64 1/5040 (pow.f64 x 7)))) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (+.f64 1 (cos.f64 eps))) x)))
(+.f64 (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (sin.f64 eps)) (-.f64 (*.f64 1/6 (pow.f64 x 3)) x)) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (sin.f64 eps)) (+.f64 (*.f64 -1/120 (pow.f64 x 5)) (*.f64 1/5040 (pow.f64 x 7)))))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))
(*.f64 -1 (/.f64 (*.f64 (sin.f64 x) (pow.f64 (sin.f64 eps) 2)) (+.f64 1 (cos.f64 eps))))
(neg.f64 (/.f64 (sin.f64 x) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2))))
(/.f64 (neg.f64 (sin.f64 x)) (/.f64 (+.f64 1 (cos.f64 eps)) (pow.f64 (sin.f64 eps) 2)))
(*.f64 (/.f64 (sin.f64 x) (+.f64 1 (cos.f64 eps))) (neg.f64 (pow.f64 (sin.f64 eps) 2)))
(*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x))

localize1.0ms (0%)

localize5.0ms (0%)

Local error

Found 6 expressions with local error:

NewErrorProgram
19.8b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
0.3b
(pow.f64 (sin.f64 eps) 3)
0.0b
(sin.f64 eps)
0.0b
(sin.f64 eps)
✓0.3b
(pow.f64 (sin.f64 eps) 3)
✓19.8b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))

series3.0ms (0%)

Counts
2 → 16
Calls

6 calls:

TimeVariablePointExpression
1.0ms
eps
@inf
(pow.f64 (sin.f64 eps) 3)
1.0ms
eps
@-inf
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@0
(pow.f64 (sin.f64 eps) 3)
0.0ms
eps
@0
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
0.0ms
eps
@inf
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))

rewrite40.0ms (0.3%)

Algorithm
1×batch-egg-rewrite
Rules
442×pow1_binary64
434×add-sqr-sqrt_binary64
419×*-un-lft-identity_binary64
418×add-log-exp_binary64
418×log1p-expm1-u_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
069
11269
211799
Stop Event
1×node limit
Counts
2 → 39
Calls
Call 1
Inputs
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(pow.f64 (sin.f64 eps) 3)
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (sin.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 2) 1/3) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3) (pow.f64 (pow.f64 (sin.f64 eps) 3/2) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 eps) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 eps)) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 eps)))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 eps) (pow.f64 (sin.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (sin.f64 eps) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 2) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (pow.f64 (sin.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sin.f64 eps) 3/2) (pow.f64 (sin.f64 eps) 3/2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) 3) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 3) (pow.f64 (sqrt.f64 (sin.f64 eps)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) 1) (sin.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (pow.f64 (cbrt.f64 (sin.f64 eps)) 2)) (cbrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (pow.f64 (sin.f64 eps) 2) (sqrt.f64 (sin.f64 eps))) (sqrt.f64 (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 eps) 6))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (pow.f64 (sin.f64 eps) 3) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (sin.f64 eps) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 3 (log.f64 (sin.f64 eps))))))))

simplify90.0ms (0.8%)

Algorithm
1×egg-herbie
Rules
1115×fma-def_binary64
832×unswap-sqr_binary64
688×sqr-pow_binary64
533×associate-*l*_binary64
396×pow-sqr_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
033134
183132
2201130
3546128
41101128
52416128
63472128
74788128
85007128
95329128
105745128
116375128
127257128
Stop Event
1×node limit
Counts
55 → 53
Calls
Call 1
Inputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(pow.f64 eps 3)
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3)))
(+.f64 (*.f64 -41/3024 (pow.f64 eps 9)) (+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3))))
Outputs
eps
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(fma.f64 -1/6 (pow.f64 eps 3) eps)
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (*.f64 1/120 (pow.f64 eps 5))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (*.f64 1/120 (pow.f64 eps 5))))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) eps))
(+.f64 eps (+.f64 (*.f64 -1/6 (pow.f64 eps 3)) (+.f64 (*.f64 1/120 (pow.f64 eps 5)) (*.f64 -1/5040 (pow.f64 eps 7)))))
(+.f64 eps (fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (*.f64 -1/5040 (pow.f64 eps 7)))))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 1/120 (pow.f64 eps 5) (fma.f64 -1/5040 (pow.f64 eps 7) eps)))
(fma.f64 -1/6 (pow.f64 eps 3) (fma.f64 -1/5040 (pow.f64 eps 7) (fma.f64 1/120 (pow.f64 eps 5) eps)))
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(sin.f64 eps)
(pow.f64 eps 3)
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (pow.f64 eps 3))
(fma.f64 -1/2 (pow.f64 eps 5) (pow.f64 eps 3))
(fma.f64 (pow.f64 eps 5) -1/2 (pow.f64 eps 3))
(+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3)))
(fma.f64 -1/2 (pow.f64 eps 5) (fma.f64 13/120 (pow.f64 eps 7) (pow.f64 eps 3)))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3)))
(+.f64 (*.f64 -41/3024 (pow.f64 eps 9)) (+.f64 (*.f64 -1/2 (pow.f64 eps 5)) (+.f64 (*.f64 13/120 (pow.f64 eps 7)) (pow.f64 eps 3))))
(fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 -1/2 (pow.f64 eps 5) (fma.f64 13/120 (pow.f64 eps 7) (pow.f64 eps 3))))
(fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3))))
(fma.f64 (pow.f64 eps 5) -1/2 (fma.f64 -41/3024 (pow.f64 eps 9) (fma.f64 (pow.f64 eps 7) 13/120 (pow.f64 eps 3))))

localize7.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
0.6b
(cbrt.f64 eps)
0.5b
(pow.f64 (cbrt.f64 eps) 2)
0.3b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
0.1b
(*.f64 (cbrt.f64 eps) (cos.f64 x))
✓0.1b
(*.f64 (cbrt.f64 eps) (cos.f64 x))
✓0.3b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
✓0.5b
(pow.f64 (cbrt.f64 eps) 2)
✓0.6b
(cbrt.f64 eps)

series27.0ms (0.2%)

Counts
4 → 36
Calls

18 calls:

TimeVariablePointExpression
3.0ms
eps
@-inf
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
2.0ms
x
@inf
(*.f64 (cbrt.f64 eps) (cos.f64 x))
1.0ms
eps
@-inf
(*.f64 (cbrt.f64 eps) (cos.f64 x))
1.0ms
x
@0
(*.f64 (cbrt.f64 eps) (cos.f64 x))
1.0ms
eps
@-inf
(pow.f64 (cbrt.f64 eps) 2)

rewrite134.0ms (1.1%)

Algorithm
1×batch-egg-rewrite
Rules
769×pow1_binary64
708×add-log-exp_binary64
708×log1p-expm1-u_binary64
708×expm1-log1p-u_binary64
691×add-exp-log_binary64
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
0923
118123
2201323
Stop Event
1×node limit
Counts
4 → 63
Calls
Call 1
Inputs
(cbrt.f64 eps)
(pow.f64 (cbrt.f64 eps) 2)
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(*.f64 (cbrt.f64 eps) (cos.f64 x))
Outputs
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (cbrt.f64 eps)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (cbrt.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (cbrt.f64 eps)) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/6) (pow.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 eps)))) (sqrt.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 1 1/3) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (sqrt.f64 eps) 1/3) (pow.f64 (sqrt.f64 eps) 1/3))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 eps 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 eps) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (cbrt.f64 eps) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (cbrt.f64 eps)) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 eps 1/6) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x fabs.f64 (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (cbrt.f64 eps)))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (pow.f64 (cbrt.f64 eps) 2)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 eps) (cbrt.f64 eps))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 eps) 2) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (pow.f64 (cbrt.f64 eps) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (cbrt.f64 (*.f64 eps (cbrt.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2) (*.f64 (cbrt.f64 (cbrt.f64 eps)) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (*.f64 eps (cbrt.f64 eps))) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 eps) (pow.f64 eps 1/6))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 eps 1/6) (*.f64 (pow.f64 eps 1/6) (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (*.f64 (cbrt.f64 eps) (pow.f64 (cbrt.f64 (cbrt.f64 eps)) 2)) (cbrt.f64 (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (*.f64 eps (cbrt.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (pow.f64 (cbrt.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 eps eps))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (pow.f64 (cbrt.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (pow.f64 (cbrt.f64 eps) 2)))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 2 (log.f64 (cbrt.f64 eps))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 eps (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 eps (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 eps) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 eps 3) (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (*.f64 eps eps) (pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 3) (*.f64 eps eps)))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 eps (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 eps (cos.f64 x))))))))
((#(struct:change #<rule egg-rr> (2) ((x -.f64 (+.f64 1 (*.f64 (cbrt.f64 eps) (cos.f64 x))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (pow.f64 (exp.f64 (cbrt.f64 eps)) (cos.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 eps (pow.f64 (cos.f64 x) 3)))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (*.f64 (pow.f64 (cos.f64 x) 3) eps))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (*.f64 (cbrt.f64 eps) (cos.f64 x))))))))

simplify122.0ms (1%)

Algorithm
1×egg-herbie
Rules
839×unswap-sqr_binary64
743×distribute-rgt-out_binary64
656×associate-+l+_binary64
556×sqr-pow_binary64
446×*-commutative_binary64
Iterations

Useful iterations: 4 (0.0ms)

IterNodesCost
044344
1113340
2344330
31250325
42248323
53829323
64977323
75458323
85624323
95841323
106146323
116506323
126941323
137688323
Stop Event
1×node limit
Counts
99 → 82
Calls
Call 1
Inputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
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 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(*.f64 eps (cos.f64 x))
(pow.f64 eps 1/3)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2)))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 6))))))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
Outputs
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
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)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(+.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 eps (fma.f64 -1/2 (*.f64 eps (*.f64 x x)) (*.f64 eps (*.f64 (pow.f64 x 4) 1/24))))
(fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) eps))
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) (fma.f64 eps (*.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 eps (*.f64 (pow.f64 x 4) 1/24))) (fma.f64 -1/720 (*.f64 eps (pow.f64 x 6)) eps))
(fma.f64 eps (*.f64 -1/720 (pow.f64 x 6)) (fma.f64 eps (*.f64 -1/2 (*.f64 x x)) (fma.f64 eps (*.f64 1/24 (pow.f64 x 4)) eps)))
(+.f64 eps (*.f64 eps (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/720 (pow.f64 x 6))))))
(*.f64 eps (+.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(*.f64 eps (cos.f64 x))
(*.f64 (cos.f64 x) eps)
(pow.f64 eps 1/3)
(cbrt.f64 eps)
(+.f64 (pow.f64 eps 1/3) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))))
(+.f64 (cbrt.f64 eps) (*.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps))))
(fma.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (cbrt.f64 eps))
(*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (cbrt.f64 eps))
(*.f64 (cbrt.f64 eps) (+.f64 1 (*.f64 x (*.f64 x -1/2))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 4))) (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2)))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (cbrt.f64 eps)) (*.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps)))))
(+.f64 (*.f64 (pow.f64 x 4) (*.f64 1/24 (cbrt.f64 eps))) (fma.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (cbrt.f64 eps)))
(+.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 eps) (+.f64 (*.f64 -1/2 (*.f64 x x)) (*.f64 1/24 (pow.f64 x 4)))))
(*.f64 (cbrt.f64 eps) (+.f64 (+.f64 1 (*.f64 1/24 (pow.f64 x 4))) (*.f64 x (*.f64 x -1/2))))
(*.f64 (cbrt.f64 eps) (+.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 1/24 (pow.f64 x 4)))))
(+.f64 (pow.f64 eps 1/3) (+.f64 (*.f64 1/24 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 4))) (+.f64 (*.f64 -1/2 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 2))) (*.f64 -1/720 (*.f64 (pow.f64 (*.f64 eps 1) 1/3) (pow.f64 x 6))))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (cbrt.f64 eps)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 -1/720 (*.f64 (pow.f64 x 6) (cbrt.f64 eps))))))
(+.f64 (cbrt.f64 eps) (fma.f64 1/24 (*.f64 (pow.f64 x 4) (cbrt.f64 eps)) (fma.f64 -1/2 (*.f64 (*.f64 x x) (cbrt.f64 eps)) (*.f64 (cbrt.f64 eps) (*.f64 (pow.f64 x 6) -1/720)))))
(+.f64 (*.f64 (+.f64 (*.f64 -1/2 (*.f64 x x)) 1) (cbrt.f64 eps)) (*.f64 (cbrt.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (*.f64 -1/720 (pow.f64 x 6)))))
(+.f64 (cbrt.f64 eps) (*.f64 (cbrt.f64 eps) (+.f64 (*.f64 1/24 (pow.f64 x 4)) (+.f64 (*.f64 x (*.f64 x -1/2)) (*.f64 -1/720 (pow.f64 x 6))))))
(*.f64 (cbrt.f64 eps) (+.f64 1 (+.f64 (*.f64 x (*.f64 x -1/2)) (+.f64 (*.f64 -1/720 (pow.f64 x 6)) (*.f64 1/24 (pow.f64 x 4))))))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (cos.f64 x) (pow.f64 (*.f64 eps 1) 1/3))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (cos.f64 x) (cbrt.f64 eps))
(*.f64 (pow.f64 (*.f64 eps 1) 1/3) (cos.f64 x))
(*.f64 (cos.f64 x) (cbrt.f64 eps))

localize10.0ms (0.1%)

Local error

Found 8 expressions with local error:

NewErrorProgram
2.0b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
0.1b
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.0b
(sin.f64 eps)
0.0b
(sin.f64 eps)
✓0.1b
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.2b
(*.f64 (cos.f64 x) (sin.f64 eps))
✓2.0b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))

series4.0ms (0%)

Counts
2 → 48
Calls

12 calls:

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

rewrite66.0ms (0.6%)

Algorithm
1×batch-egg-rewrite
Rules
685×prod-diff_binary64
515×log-prod_binary64
333×pow-prod-down_binary64
289×pow2_binary64
276×fma-def_binary64
Iterations

Useful iterations: 2 (0.0ms)

IterNodesCost
01037
120737
2272217
Stop Event
1×node limit
Counts
2 → 133
Calls
Call 1
Inputs
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
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(cbrt.f64 (neg.f64 (sin.f64 x))) (sin.f64 (+.f64 eps 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 (*.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 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (neg.f64 (sqrt.f64 (sin.f64 x))) (sqrt.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 -1 (sin.f64 x) (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (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 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (fma.f64 (neg.f64 (cbrt.f64 (sin.f64 x))) (cbrt.f64 (pow.f64 (sin.f64 x) 2)) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x fma.f64 (+.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 x))) (-.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (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 (cbrt.f64 (pow.f64 (sin.f64 x) 2))) (cbrt.f64 (sin.f64 x)) (sin.f64 (+.f64 eps x)))))) (#(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)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.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)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))))
((#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 0 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 1) (*.f64 (cos.f64 x) (sin.f64 eps)))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (pow.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x)))) 2)) (log.f64 (cbrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x +.f64 (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))) (log.f64 (sqrt.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))))) (#(struct:change #<rule egg-rr> (2) ((x -.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 eps x)))) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 1 (sin.f64 (+.f64 eps x)))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 2) (cbrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x *.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) (sqrt.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 3) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (+.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (-.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2) (*.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x /.f64 (-.f64 (pow.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) 2) (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 2)) (-.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))))))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sin.f64 (+.f64 eps x)) 1)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2) 1/2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (cbrt.f64 (sin.f64 (+.f64 eps x))) 3)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (sqrt.f64 (sin.f64 (+.f64 eps x))) 2)))) (#(struct:change #<rule egg-rr> (2) ((x pow.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3) 1/3)))) (#(struct:change #<rule egg-rr> (2) ((x sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (exp.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 eps x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 x) (sin.f64 eps))) (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x)))))))) (#(struct:change #<rule egg-rr> (2) ((x log.f64 (*.f64 (exp.f64 (*.f64 (cos.f64 eps) (sin.f64 x))) (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))))))) (#(struct:change #<rule egg-rr> (2) ((x cbrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 3))))) (#(struct:change #<rule egg-rr> (2) ((x log1p.f64 (expm1.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x expm1.f64 (log1p.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (log.f64 (sin.f64 (+.f64 eps x))))))) (#(struct:change #<rule egg-rr> (2) ((x exp.f64 (*.f64 (log.f64 (sin.f64 (+.f64 eps x))) 1))))) (#(struct:change #<rule egg-rr> (2) ((x sin.f64 (+.f64 eps x))))))

simplify77.0ms (0.6%)

Algorithm
1×egg-herbie
Rules
825×distribute-lft-out_binary64
784×distribute-rgt-out_binary64
681×fma-neg_binary64
638×associate-*l*_binary64
465×associate-*r*_binary64
Iterations

Useful iterations: 3 (0.0ms)

IterNodesCost
060900
1174895
2451849
31380848
43796848
57548848
Stop Event
1×node limit
Counts
181 → 163
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 (*.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))
(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))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 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))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
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 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 -1/2 (*.f64 eps (*.f64 eps (sin.f64 x)))))
(fma.f64 (cos.f64 x) eps (*.f64 eps (*.f64 eps (*.f64 -1/2 (sin.f64 x)))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 eps (*.f64 -1/2 (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)))))
(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)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 eps (*.f64 -1/2 (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))))))
(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 (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)))))
(fma.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3))) (*.f64 eps (*.f64 (sin.f64 x) (+.f64 (*.f64 eps -1/2) (*.f64 (pow.f64 eps 3) 1/24)))))
(-.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.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))
(fma.f64 (+.f64 (cos.f64 eps) -1) x (sin.f64 eps))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (sin.f64 eps))
(-.f64 (fma.f64 x (cos.f64 eps) (sin.f64 eps)) x)
(+.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)))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps)))
(-.f64 (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 x (cos.f64 eps) (sin.f64 eps))) x)
(-.f64 (fma.f64 x (cos.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (sin.f64 eps))) x)
(+.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 x (*.f64 x (sin.f64 eps))) (fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 (fma.f64 -1/6 (cos.f64 eps) 1/6) (pow.f64 x 3) (sin.f64 eps))))
(fma.f64 x (+.f64 (cos.f64 eps) -1) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (fma.f64 (fma.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 (fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)))
(sin.f64 x)
(+.f64 (*.f64 (cos.f64 x) eps) (sin.f64 x))
(fma.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 (fma.f64 (cos.f64 x) eps (sin.f64 x)) (*.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps))))
(fma.f64 (cos.f64 x) eps (*.f64 (+.f64 (*.f64 -1/2 (*.f64 eps eps)) 1) (sin.f64 x)))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)))
(fma.f64 (fma.f64 -1/2 (*.f64 eps eps) 1) (sin.f64 x) (*.f64 (cos.f64 x) eps))
(fma.f64 (cos.f64 x) eps (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps -1/2) eps 1)))
(+.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 (*.f64 (sin.f64 x) (fma.f64 -1/2 (*.f64 eps eps) 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (sin.f64 x) (fma.f64 (*.f64 eps -1/2) eps 1)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(sin.f64 eps)
(+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps))
(fma.f64 (cos.f64 eps) x (sin.f64 eps))
(fma.f64 x (cos.f64 eps) (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 x (cos.f64 eps) (sin.f64 eps)))
(fma.f64 x (cos.f64 eps) (*.f64 (+.f64 (*.f64 x (*.f64 x -1/2)) 1) (sin.f64 eps)))
(fma.f64 x (cos.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 (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 x (cos.f64 eps) (fma.f64 -1/6 (*.f64 (cos.f64 eps) (pow.f64 x 3)) (sin.f64 eps))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 (*.f64 -1/6 (pow.f64 x 3)) x))))
(+.f64 (sin.f64 eps) (fma.f64 -1/2 (*.f64 x (*.f64 x (sin.f64 eps))) (*.f64 (cos.f64 eps) (+.f64 x (*.f64 -1/6 (pow.f64 x 3))))))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))
(+.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (*.f64 (cos.f64 eps) (sin.f64 x)))
(fma.f64 (cos.f64 x) (sin.f64 eps) (*.f64 (sin.f64 x) (cos.f64 eps)))

eval217.0ms (1.8%)

Compiler

Compiled 11361 to 5216 computations (54.1% saved)

prune129.0ms (1.1%)

Pruning

63 alts after pruning (52 fresh and 11 done)

PrunedKeptTotal
New62415639
Fresh193756
Picked011
Done01010
Total64363706
Error
0.0b
Counts
706 → 63
Alt Table
Click to see full alt table
StatusErrorProgram
48.9b
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
✓21.6b
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
60.2b
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
✓30.2b
(*.f64 eps (cos.f64 x))
47.0b
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
38.0b
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
60.3b
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
21.6b
(fma.f64 (sin.f64 x) (cos.f64 eps) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
30.8b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1) (sin.f64 x)))
✓61.3b
(log.f64 1)
46.2b
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
58.9b
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
31.8b
(expm1.f64 (log1p.f64 (sin.f64 eps)))
0.5b
(log1p.f64 (expm1.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))))
37.6b
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
27.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
36.2b
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
0.5b
(-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))))
38.0b
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
20.0b
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
16.8b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
38.6b
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
✓0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x)))
✓31.8b
(sin.f64 eps)
38.7b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
30.1b
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
47.0b
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
37.9b
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
32.4b
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
31.6b
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
0.4b
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
0.3b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (sin.f64 x)))
0.2b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x)))
22.9b
(+.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
53.4b
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
✓30.7b
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))))
✓37.4b
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
46.9b
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
38.3b
(-.f64 (sin.f64 eps) (sin.f64 x))
✓30.9b
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (sin.f64 x)))
51.8b
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
✓39.8b
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
37.6b
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 2))))
56.8b
(pow.f64 (pow.f64 eps 1/3) 3)
47.0b
(log.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
46.4b
eps
31.0b
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
49.3b
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
31.4b
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
32.8b
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
50.1b
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
30.3b
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
49.2b
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
✓0.4b
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
0.4b
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
46.2b
(log.f64 (exp.f64 (sin.f64 eps)))
✓30.9b
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
46.7b
(pow.f64 (cbrt.f64 eps) 3)
46.2b
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
21.6b
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
35.2b
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1/3))
41.2b
(pow.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3) 1/3)
Compiler

Compiled 766 to 554 computations (27.7% saved)

regimes262.0ms (2.2%)

Counts
135 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
(fma.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 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (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 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.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 (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.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 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(log.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (+.f64 (fma.f64 (cos.f64 x) (sin.f64 eps) 1) -1) (sin.f64 x)))
(fma.f64 (expm1.f64 (log1p.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(exp.f64 (log.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)))))
(log.f64 (exp.f64 (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 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 3) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(cbrt.f64 (pow.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))) 3))
(fma.f64 (pow.f64 (sqrt.f64 (sin.f64 eps)) 2) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(pow.f64 (cbrt.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x)))) 3)
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (cbrt.f64 (pow.f64 (+.f64 (cos.f64 eps) -1) 3)) (sin.f64 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)
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (expm1.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) (sin.f64 x)))
(+.f64 (log.f64 (exp.f64 (*.f64 (sin.f64 x) (cos.f64 eps)))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(log.f64 (exp.f64 (+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (/.f64 (pow.f64 (sin.f64 eps) 2) (-.f64 -1 (cos.f64 eps))) (sin.f64 x)))
(+.f64 (pow.f64 (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) 3) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (cbrt.f64 (pow.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) 3)) (sin.f64 x)))
(exp.f64 (*.f64 (*.f64 3 (log.f64 (fma.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x) (*.f64 (sin.f64 eps) (cos.f64 x))))) 1/3))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (-.f64 (exp.f64 (log1p.f64 (*.f64 (cos.f64 x) (sin.f64 eps)))) 1) (sin.f64 x)))
(+.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (sin.f64 x) (cos.f64 eps))))) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (log.f64 (+.f64 1 (expm1.f64 (*.f64 (cos.f64 x) (sin.f64 eps))))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (+.f64 (cos.f64 eps) 1))) (sin.f64 x)))
(-.f64 (fma.f64 (log1p.f64 (expm1.f64 (sin.f64 eps))) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (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 (sin.f64 eps) (sqrt.f64 (cos.f64 x))) (sqrt.f64 (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(fma.f64 (sqrt.f64 (sin.f64 eps)) (*.f64 (sqrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (sin.f64 x)))
(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 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (neg.f64 (pow.f64 (sin.f64 eps) 2)) (/.f64 1 (pow.f64 (sqrt.f64 (+.f64 (cos.f64 eps) 1)) 2))) (sin.f64 x)))
(fma.f64 (sqrt.f64 (cos.f64 eps)) (*.f64 (sqrt.f64 (cos.f64 eps)) (sin.f64 x)) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (pow.f64 (cbrt.f64 (sin.f64 eps)) 2) (*.f64 (cbrt.f64 (sin.f64 eps)) (cos.f64 x)) (-.f64 (*.f64 (sin.f64 x) (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 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (pow.f64 (cbrt.f64 (cos.f64 x)) 2) (*.f64 (cbrt.f64 (cos.f64 x)) (sin.f64 eps)) (neg.f64 (-.f64 (sin.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps)))))
(-.f64 (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))) (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))) (-.f64 (*.f64 (sin.f64 x) (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 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 (cbrt.f64 (pow.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) 2)) (cbrt.f64 (*.f64 (sin.f64 x) (cos.f64 eps))) (fma.f64 (cos.f64 x) (sin.f64 eps) (neg.f64 (sin.f64 x))))
(fma.f64 (sin.f64 eps) (cos.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))))))
(-.f64 (/.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)))))) (sin.f64 x))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x)))
Calls

4 calls:

68.0ms
eps
66.0ms
x
44.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
40.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.2b1x
0.2b1eps
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.2b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 1708 to 608 computations (64.4% saved)

regimes189.0ms (1.6%)

Counts
95 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
(fma.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 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (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 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(log.f64 (/.f64 (+.f64 1 (expm1.f64 (sin.f64 (+.f64 x eps)))) (exp.f64 (sin.f64 x))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) (sin.f64 x)) (*.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 (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 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(fma.f64 -1/2 (*.f64 (sin.f64 x) (*.f64 eps eps)) (*.f64 (cos.f64 x) (fma.f64 -1/6 (pow.f64 eps 3) eps)))
(fma.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 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (fma.f64 (cos.f64 eps) (sin.f64 x) (*.f64 (cos.f64 x) (sin.f64 eps))) (sin.f64 x))
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (sin.f64 x) (cos.f64 eps))) (sin.f64 x))
(fma.f64 (cos.f64 eps) (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(log.f64 (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) (*.f64 x (exp.f64 (sin.f64 eps)))) (exp.f64 (sin.f64 eps))))
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

52.0ms
eps
48.0ms
x
31.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
28.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 971 to 381 computations (60.8% saved)

regimes149.0ms (1.3%)

Counts
81 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
(fma.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 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (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 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
Outputs
(fma.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1) (*.f64 (cos.f64 x) (sin.f64 eps)))
Calls

4 calls:

39.0ms
eps
36.0ms
x
26.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
24.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 780 to 343 computations (56% saved)

regimes144.0ms (1.2%)

Counts
80 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 x (cos.f64 eps)) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (-.f64 (*.f64 eps (cos.f64 x)) (sin.f64 x)))
(-.f64 (fma.f64 x (+.f64 (*.f64 x (*.f64 (sin.f64 eps) -1/2)) (cos.f64 eps)) (sin.f64 eps)) x)
(fma.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 -1/2 (*.f64 (pow.f64 x 2) (sin.f64 eps))) (+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps)))
(sqrt.f64 (pow.f64 (*.f64 (*.f64 2 (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 2) 3) (*.f64 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2)) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2))))
(pow.f64 (pow.f64 (cbrt.f64 (cbrt.f64 (*.f64 eps (cos.f64 x)))) 3) 3)
(-.f64 (fma.f64 (sin.f64 eps) (cos.f64 x) (sin.f64 x)) (sin.f64 x))
(log.f64 (*.f64 (exp.f64 (neg.f64 (sin.f64 x))) (exp.f64 (sin.f64 (+.f64 x eps)))))
Outputs
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
Calls

4 calls:

38.0ms
x
36.0ms
eps
26.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
22.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
0.4b1x
0.4b1eps
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
0.4b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 768 to 340 computations (55.7% saved)

regimes176.0ms (1.5%)

Counts
69 → 3
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 -1/2 (*.f64 eps eps)) (sin.f64 x)))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Calls

4 calls:

84.0ms
eps
32.0ms
x
22.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.8b1x
14.8b3eps
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 603 to 272 computations (54.9% saved)

bsearch115.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
58.0ms
1096.8183850469568
14365.417886619241
56.0ms
-58520974586.495186
-1.3915928499252286
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes214.0ms (1.8%)

Counts
67 → 3
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
(-.f64 (-.f64 (exp.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) 1) (sin.f64 x))
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 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))
Calls

4 calls:

120.0ms
eps
32.0ms
x
24.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
21.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.8b1x
14.8b3eps
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 577 to 262 computations (54.6% saved)

bsearch116.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
2.0808353193995894e-7
1.1892434341392655e-6
56.0ms
-58520974586.495186
-1.3915928499252286
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes179.0ms (1.5%)

Counts
65 → 3
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2))))
(*.f64 2 (*.f64 (sin.f64 (/.f64 (-.f64 (+.f64 x eps) x) 2)) (cos.f64 (/.f64 (+.f64 (+.f64 x eps) x) 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 2 (sin.f64 (*.f64 (-.f64 (+.f64 x eps) x) 1/2))) (cos.f64 (*.f64 (+.f64 x (+.f64 x eps)) 1/2)))
(expm1.f64 (log1p.f64 (sin.f64 eps)))
(log.f64 (exp.f64 (sin.f64 eps)))
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(pow.f64 (cbrt.f64 (sin.f64 eps)) 3)
(cbrt.f64 (pow.f64 (sin.f64 eps) 3))
(sqrt.f64 (pow.f64 (sin.f64 eps) 2))
(log.f64 (+.f64 1 (expm1.f64 (sin.f64 eps))))
(-.f64 (exp.f64 (log1p.f64 (sin.f64 eps))) 1)
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(cbrt.f64 (pow.f64 (*.f64 eps (cos.f64 x)) 3))
(pow.f64 (cbrt.f64 (*.f64 eps (cos.f64 x))) 3)
(*.f64 (sqrt.f64 eps) (*.f64 (sqrt.f64 eps) (cos.f64 x)))
(fma.f64 (cos.f64 eps) x (-.f64 (sin.f64 eps) x))
(-.f64 (fma.f64 (cos.f64 eps) x (sin.f64 eps)) x)
(cbrt.f64 (-.f64 (+.f64 1 (pow.f64 (sin.f64 eps) 3)) 1))
(+.f64 (*.f64 (sin.f64 x) (cos.f64 eps)) (neg.f64 (sin.f64 x)))
(sqrt.f64 (*.f64 eps (*.f64 eps (pow.f64 (cos.f64 x) 2))))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(-.f64 (+.f64 (*.f64 (cos.f64 eps) x) (sin.f64 eps)) (sin.f64 x))
(cbrt.f64 (sqrt.f64 (pow.f64 (sin.f64 eps) 6)))
(exp.f64 (*.f64 (log.f64 (cbrt.f64 (sin.f64 eps))) 3))
(pow.f64 (*.f64 (cbrt.f64 (cos.f64 x)) (cbrt.f64 eps)) 3)
(*.f64 (sqrt.f64 (cos.f64 x)) (*.f64 (sqrt.f64 (cos.f64 x)) eps))
(-.f64 (expm1.f64 (log1p.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log1p.f64 (expm1.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(-.f64 (log.f64 (exp.f64 (sin.f64 (+.f64 x eps)))) (sin.f64 x))
(log.f64 (exp.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 eps x)) (sin.f64 x))) 3)
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 eps x)) 2)) (sin.f64 x))
(*.f64 (pow.f64 (cbrt.f64 eps) 2) (*.f64 (cbrt.f64 eps) (cos.f64 x)))
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (pow.f64 (cbrt.f64 (sin.f64 (+.f64 x eps))) 3) (sin.f64 x))
(sqrt.f64 (pow.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x)) 2))
(pow.f64 (sqrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 2)
(pow.f64 (cbrt.f64 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))) 3)
(-.f64 (cbrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 3)) (sin.f64 x))
(-.f64 (sqrt.f64 (pow.f64 (sin.f64 (+.f64 x eps)) 2)) (sin.f64 x))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (-.f64 (cos.f64 eps) 1) x))
(fma.f64 eps (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
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

4 calls:

89.0ms
eps
31.0ms
x
22.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.8b1x
15.1b3eps
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
16.8b1(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 555 to 255 computations (54.1% saved)

bsearch118.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
2.0808353193995894e-7
1.1892434341392655e-6
57.0ms
-58520974586.495186
-1.3915928499252286
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes101.0ms (0.9%)

Counts
22 → 3
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
(log.f64 (+.f64 1 (*.f64 (cos.f64 x) eps)))
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(+.f64 (*.f64 (-.f64 (cos.f64 eps) 1) x) (sin.f64 eps))
(*.f64 1/3 (*.f64 3 (-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))))
Outputs
(-.f64 (sin.f64 eps) (sin.f64 x))
(*.f64 eps (cos.f64 x))
(-.f64 (sin.f64 eps) (sin.f64 x))
Calls

4 calls:

28.0ms
eps
28.0ms
x
20.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
19.0ms
(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Results
ErrorSegmentsBranch
16.5b3x
15.3b3eps
15.9b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
15.9b3(-.f64 (sin.f64 (+.f64 x eps)) (sin.f64 x))
Compiler

Compiled 167 to 91 computations (45.5% saved)

bsearch120.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
60.0ms
2.0808353193995894e-7
1.1892434341392655e-6
60.0ms
-1.3915928499252286
-1.4862259064409587e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes46.0ms (0.4%)

Counts
14 → 3
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(-.f64 (+.f64 1 (sin.f64 eps)) 1)
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(+.f64 eps (*.f64 -1/6 (pow.f64 eps 3)))
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 (*.f64 x x) -1/2) eps)
(-.f64 (+.f64 1 (*.f64 eps (cos.f64 x))) 1)
(fma.f64 eps (*.f64 x (*.f64 x -1/2)) eps)
(pow.f64 (cbrt.f64 eps) 3)
(pow.f64 (pow.f64 eps 1/3) 3)
(-.f64 (sin.f64 x) (sin.f64 x))
Outputs
(sin.f64 eps)
(*.f64 eps (cos.f64 x))
(sin.f64 eps)
Calls

2 calls:

22.0ms
eps
21.0ms
x
Results
ErrorSegmentsBranch
16.8b3x
15.7b3eps
Compiler

Compiled 83 to 50 computations (39.8% saved)

bsearch121.0ms (1%)

Algorithm
2×binary-search
Steps
TimeLeftRight
61.0ms
2.0808353193995894e-7
1.1892434341392655e-6
59.0ms
-1.3915928499252286
-1.4862259064409587e-8
Compiler

Compiled 14 to 10 computations (28.6% saved)

regimes8.0ms (0.1%)

Counts
3 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
(sin.f64 eps)
Outputs
(sin.f64 eps)
Calls

2 calls:

3.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
31.8b1x
31.8b1eps
Compiler

Compiled 13 to 9 computations (30.8% saved)

regimes8.0ms (0.1%)

Accuracy

Total -15.4b remaining (-33.1%)

Threshold costs -15.4b (-33.1%)

Counts
2 → 1
Calls
Call 1
Inputs
eps
(log.f64 1)
Outputs
eps
Calls

2 calls:

4.0ms
x
3.0ms
eps
Results
ErrorSegmentsBranch
46.4b1x
46.4b1eps
Compiler

Compiled 11 to 8 computations (27.3% saved)

simplify10.0ms (0.1%)

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

Useful iterations: 0 (0.0ms)

IterNodesCost
054305
176305
292305
3106305
4112305
5114305
Stop Event
1×saturated
Calls
Call 1
Inputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x)))
(fma.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)))
(+.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1205964567917623/1099511627776) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3133588520187353/2251799813685248) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3133588520187353/2251799813685248) (sin.f64 eps) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps
Outputs
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 (tan.f64 (/.f64 eps 2)) (neg.f64 (sin.f64 eps))) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(fma.f64 (sin.f64 eps) (cos.f64 x) (*.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)))
(fma.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 (+.f64 (cos.f64 eps) -1) (sin.f64 x)))
(+.f64 (*.f64 (sin.f64 x) (+.f64 (cos.f64 eps) -1)) (*.f64 (sin.f64 eps) (cos.f64 x)))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1205964567917623/1099511627776) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 -1/2 eps))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 1205964567917623/1099511627776) (fma.f64 (sin.f64 eps) (cos.f64 x) (*.f64 (*.f64 eps (sin.f64 x)) (*.f64 eps -1/2))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (cos.f64 x) (sin.f64 eps)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (+.f64 (sin.f64 x) (-.f64 (*.f64 (sin.f64 eps) (cos.f64 x)) (sin.f64 x)))))
(if (<=.f64 eps -7670461181001097/131072) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (+.f64 (cos.f64 x) (*.f64 (sin.f64 x) (*.f64 eps -1/2)))) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3133588520187353/2251799813685248) (-.f64 (sin.f64 eps) (sin.f64 x)) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (cos.f64 x)) (-.f64 (sin.f64 eps) (sin.f64 x))))
(if (<=.f64 eps -3133588520187353/2251799813685248) (sin.f64 eps) (if (<=.f64 eps 7861173574963179/37778931862957161709568) (*.f64 eps (cos.f64 x)) (sin.f64 eps)))
(sin.f64 eps)
eps

end85.0ms (0.7%)

Stop Event
1×fuel
Compiler

Compiled 414 to 203 computations (51% saved)

Profiling

Loading profile data...